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Finding the Fourth Proportional to 6,592.14, 9,097.10 and 3,607.97

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Solution

The fourth proportional to 6,592.14, 9,097.10 and 3,607.97 is: 4,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.14 : 9,097.10 = 3,607.97 : x
  2. Step 2: Convert to fraction form
    6,592.14/9,097.10 = 3,607.97/x
  3. Step 3: Cross multiply
    6,592.14x = 9,097.10 × 3,607.97
  4. Step 4: Simplify right side
    6,592.14x = 32,822,063.89
  5. Step 5: Solve for x
    x = 32,822,063.89/6,592.14
  6. Step 6: Final answer
    x = 4,978.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.