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Finding the Fourth Proportional to 9,685.38, 13,370.76 and 6,854.97

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Solution

The fourth proportional to 9,685.38, 13,370.76 and 6,854.97 is: 9,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.38 : 13,370.76 = 6,854.97 : x
  2. Step 2: Convert to fraction form
    9,685.38/13,370.76 = 6,854.97/x
  3. Step 3: Cross multiply
    9,685.38x = 13,370.76 × 6,854.97
  4. Step 4: Simplify right side
    9,685.38x = 91,656,158.68
  5. Step 5: Solve for x
    x = 91,656,158.68/9,685.38
  6. Step 6: Final answer
    x = 9,463.35

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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.