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Finding the Fourth Proportional to 6,508.17, 9,755.25 and 2,812.14

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Solution

The fourth proportional to 6,508.17, 9,755.25 and 2,812.14 is: 4,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.17 : 9,755.25 = 2,812.14 : x
  2. Step 2: Convert to fraction form
    6,508.17/9,755.25 = 2,812.14/x
  3. Step 3: Cross multiply
    6,508.17x = 9,755.25 × 2,812.14
  4. Step 4: Simplify right side
    6,508.17x = 27,433,128.74
  5. Step 5: Solve for x
    x = 27,433,128.74/6,508.17
  6. Step 6: Final answer
    x = 4,215.18

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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.