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Finding the Fourth Proportional to 9,657,662.40, 14,486,493.60 and 2,926,411.20

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Solution

The fourth proportional to 9,657,662.40, 14,486,493.60 and 2,926,411.20 is: 4,389,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,662.40 : 14,486,493.60 = 2,926,411.20 : x
  2. Step 2: Convert to fraction form
    9,657,662.40/14,486,493.60 = 2,926,411.20/x
  3. Step 3: Cross multiply
    9,657,662.40x = 14,486,493.60 × 2,926,411.20
  4. Step 4: Simplify right side
    9,657,662.40x = 42,393,437,119,768.32
  5. Step 5: Solve for x
    x = 42,393,437,119,768.32/9,657,662.40
  6. Step 6: Final answer
    x = 4,389,616.80

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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.