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Finding the Fourth Proportional to 6,097.33, 9,158.15 and 5,753.47

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Solution

The fourth proportional to 6,097.33, 9,158.15 and 5,753.47 is: 8,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.33 : 9,158.15 = 5,753.47 : x
  2. Step 2: Convert to fraction form
    6,097.33/9,158.15 = 5,753.47/x
  3. Step 3: Cross multiply
    6,097.33x = 9,158.15 × 5,753.47
  4. Step 4: Simplify right side
    6,097.33x = 52,691,141.28
  5. Step 5: Solve for x
    x = 52,691,141.28/6,097.33
  6. Step 6: Final answer
    x = 8,641.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.