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Finding the Fourth Proportional to 9,337.71, 13,902.90 and 9,206.95

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Solution

The fourth proportional to 9,337.71, 13,902.90 and 9,206.95 is: 13,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.71 : 13,902.90 = 9,206.95 : x
  2. Step 2: Convert to fraction form
    9,337.71/13,902.90 = 9,206.95/x
  3. Step 3: Cross multiply
    9,337.71x = 13,902.90 × 9,206.95
  4. Step 4: Simplify right side
    9,337.71x = 128,003,305.16
  5. Step 5: Solve for x
    x = 128,003,305.16/9,337.71
  6. Step 6: Final answer
    x = 13,708.21

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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.