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Finding the Fourth Proportional to 6,411.60, 9,617.40 and 3,126.78

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Solution

The fourth proportional to 6,411.60, 9,617.40 and 3,126.78 is: 4,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.60 : 9,617.40 = 3,126.78 : x
  2. Step 2: Convert to fraction form
    6,411.60/9,617.40 = 3,126.78/x
  3. Step 3: Cross multiply
    6,411.60x = 9,617.40 × 3,126.78
  4. Step 4: Simplify right side
    6,411.60x = 30,071,493.97
  5. Step 5: Solve for x
    x = 30,071,493.97/6,411.60
  6. Step 6: Final answer
    x = 4,690.17

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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.