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Finding the Fourth Proportional to 6,512.17, 8,989.91 and 3,717.13

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Solution

The fourth proportional to 6,512.17, 8,989.91 and 3,717.13 is: 5,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.17 : 8,989.91 = 3,717.13 : x
  2. Step 2: Convert to fraction form
    6,512.17/8,989.91 = 3,717.13/x
  3. Step 3: Cross multiply
    6,512.17x = 8,989.91 × 3,717.13
  4. Step 4: Simplify right side
    6,512.17x = 33,416,645.57
  5. Step 5: Solve for x
    x = 33,416,645.57/6,512.17
  6. Step 6: Final answer
    x = 5,131.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.