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Finding the Fourth Proportional to 9,347.20, 12,898.92 and 5,810.20

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Solution

The fourth proportional to 9,347.20, 12,898.92 and 5,810.20 is: 8,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.20 : 12,898.92 = 5,810.20 : x
  2. Step 2: Convert to fraction form
    9,347.20/12,898.92 = 5,810.20/x
  3. Step 3: Cross multiply
    9,347.20x = 12,898.92 × 5,810.20
  4. Step 4: Simplify right side
    9,347.20x = 74,945,304.98
  5. Step 5: Solve for x
    x = 74,945,304.98/9,347.20
  6. Step 6: Final answer
    x = 8,017.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.