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Finding the Fourth Proportional to 9,688.38, 13,367.89 and 5,708.04

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Solution

The fourth proportional to 9,688.38, 13,367.89 and 5,708.04 is: 7,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.38 : 13,367.89 = 5,708.04 : x
  2. Step 2: Convert to fraction form
    9,688.38/13,367.89 = 5,708.04/x
  3. Step 3: Cross multiply
    9,688.38x = 13,367.89 × 5,708.04
  4. Step 4: Simplify right side
    9,688.38x = 76,304,450.84
  5. Step 5: Solve for x
    x = 76,304,450.84/9,688.38
  6. Step 6: Final answer
    x = 7,875.87

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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.