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Finding the Fourth Proportional to 9,773,914.20, 14,660,871.30 and 8,262,259.80

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Solution

The fourth proportional to 9,773,914.20, 14,660,871.30 and 8,262,259.80 is: 12,393,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773,914.20 : 14,660,871.30 = 8,262,259.80 : x
  2. Step 2: Convert to fraction form
    9,773,914.20/14,660,871.30 = 8,262,259.80/x
  3. Step 3: Cross multiply
    9,773,914.20x = 14,660,871.30 × 8,262,259.80
  4. Step 4: Simplify right side
    9,773,914.20x = 121,131,927,574,963.75
  5. Step 5: Solve for x
    x = 121,131,927,574,963.75/9,773,914.20
  6. Step 6: Final answer
    x = 12,393,389.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.