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Finding the Fourth Proportional to 6,416.56, 9,617.52 and 2,517.76

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Solution

The fourth proportional to 6,416.56, 9,617.52 and 2,517.76 is: 3,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.56 : 9,617.52 = 2,517.76 : x
  2. Step 2: Convert to fraction form
    6,416.56/9,617.52 = 2,517.76/x
  3. Step 3: Cross multiply
    6,416.56x = 9,617.52 × 2,517.76
  4. Step 4: Simplify right side
    6,416.56x = 24,214,607.16
  5. Step 5: Solve for x
    x = 24,214,607.16/6,416.56
  6. Step 6: Final answer
    x = 3,773.77

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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.