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Finding the Fourth Proportional to 6,312.25, 9,471.06 and 2,617.17

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Solution

The fourth proportional to 6,312.25, 9,471.06 and 2,617.17 is: 3,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.25 : 9,471.06 = 2,617.17 : x
  2. Step 2: Convert to fraction form
    6,312.25/9,471.06 = 2,617.17/x
  3. Step 3: Cross multiply
    6,312.25x = 9,471.06 × 2,617.17
  4. Step 4: Simplify right side
    6,312.25x = 24,787,374.10
  5. Step 5: Solve for x
    x = 24,787,374.10/6,312.25
  6. Step 6: Final answer
    x = 3,926.87

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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.