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Finding the Fourth Proportional to 6,529.38, 9,731.84 and 6,160.38

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Solution

The fourth proportional to 6,529.38, 9,731.84 and 6,160.38 is: 9,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.38 : 9,731.84 = 6,160.38 : x
  2. Step 2: Convert to fraction form
    6,529.38/9,731.84 = 6,160.38/x
  3. Step 3: Cross multiply
    6,529.38x = 9,731.84 × 6,160.38
  4. Step 4: Simplify right side
    6,529.38x = 59,951,801.70
  5. Step 5: Solve for x
    x = 59,951,801.70/6,529.38
  6. Step 6: Final answer
    x = 9,181.85

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