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Finding the Fourth Proportional to 9,685.43, 13,366.16 and 5,436.75

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Solution

The fourth proportional to 9,685.43, 13,366.16 and 5,436.75 is: 7,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.43 : 13,366.16 = 5,436.75 : x
  2. Step 2: Convert to fraction form
    9,685.43/13,366.16 = 5,436.75/x
  3. Step 3: Cross multiply
    9,685.43x = 13,366.16 × 5,436.75
  4. Step 4: Simplify right side
    9,685.43x = 72,668,470.38
  5. Step 5: Solve for x
    x = 72,668,470.38/9,685.43
  6. Step 6: Final answer
    x = 7,502.86

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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.