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Finding the Fourth Proportional to 6,132.66, 9,197.76 and 1,689.17

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Solution

The fourth proportional to 6,132.66, 9,197.76 and 1,689.17 is: 2,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.66 : 9,197.76 = 1,689.17 : x
  2. Step 2: Convert to fraction form
    6,132.66/9,197.76 = 1,689.17/x
  3. Step 3: Cross multiply
    6,132.66x = 9,197.76 × 1,689.17
  4. Step 4: Simplify right side
    6,132.66x = 15,536,534.27
  5. Step 5: Solve for x
    x = 15,536,534.27/6,132.66
  6. Step 6: Final answer
    x = 2,533.41

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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.