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Finding the Fourth Proportional to 6,257.40, 9,387.32 and 1,874.76

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Solution

The fourth proportional to 6,257.40, 9,387.32 and 1,874.76 is: 2,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.40 : 9,387.32 = 1,874.76 : x
  2. Step 2: Convert to fraction form
    6,257.40/9,387.32 = 1,874.76/x
  3. Step 3: Cross multiply
    6,257.40x = 9,387.32 × 1,874.76
  4. Step 4: Simplify right side
    6,257.40x = 17,598,972.04
  5. Step 5: Solve for x
    x = 17,598,972.04/6,257.40
  6. Step 6: Final answer
    x = 2,812.51

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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.