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Finding the Fourth Proportional to 6,154.87, 9,234.60 and 3,691.46

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Solution

The fourth proportional to 6,154.87, 9,234.60 and 3,691.46 is: 5,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.87 : 9,234.60 = 3,691.46 : x
  2. Step 2: Convert to fraction form
    6,154.87/9,234.60 = 3,691.46/x
  3. Step 3: Cross multiply
    6,154.87x = 9,234.60 × 3,691.46
  4. Step 4: Simplify right side
    6,154.87x = 34,089,156.52
  5. Step 5: Solve for x
    x = 34,089,156.52/6,154.87
  6. Step 6: Final answer
    x = 5,538.57

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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.