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Finding the Fourth Proportional to 6,154.89, 9,232.35 and 2,457.42

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Solution

The fourth proportional to 6,154.89, 9,232.35 and 2,457.42 is: 3,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.89 : 9,232.35 = 2,457.42 : x
  2. Step 2: Convert to fraction form
    6,154.89/9,232.35 = 2,457.42/x
  3. Step 3: Cross multiply
    6,154.89x = 9,232.35 × 2,457.42
  4. Step 4: Simplify right side
    6,154.89x = 22,687,761.54
  5. Step 5: Solve for x
    x = 22,687,761.54/6,154.89
  6. Step 6: Final answer
    x = 3,686.14

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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.