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Finding the Fourth Proportional to 9,542.16, 14,209.68 and 9,296.40

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Solution

The fourth proportional to 9,542.16, 14,209.68 and 9,296.40 is: 13,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.16 : 14,209.68 = 9,296.40 : x
  2. Step 2: Convert to fraction form
    9,542.16/14,209.68 = 9,296.40/x
  3. Step 3: Cross multiply
    9,542.16x = 14,209.68 × 9,296.40
  4. Step 4: Simplify right side
    9,542.16x = 132,098,869.15
  5. Step 5: Solve for x
    x = 132,098,869.15/9,542.16
  6. Step 6: Final answer
    x = 13,843.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.