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Finding the Fourth Proportional to 6,154.64, 9,237.20 and 2,459.46

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Solution

The fourth proportional to 6,154.64, 9,237.20 and 2,459.46 is: 3,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.64 : 9,237.20 = 2,459.46 : x
  2. Step 2: Convert to fraction form
    6,154.64/9,237.20 = 2,459.46/x
  3. Step 3: Cross multiply
    6,154.64x = 9,237.20 × 2,459.46
  4. Step 4: Simplify right side
    6,154.64x = 22,718,523.91
  5. Step 5: Solve for x
    x = 22,718,523.91/6,154.64
  6. Step 6: Final answer
    x = 3,691.28

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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.