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Finding the Fourth Proportional to 9,164.97, 12,648.33 and 5,132.16

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Solution

The fourth proportional to 9,164.97, 12,648.33 and 5,132.16 is: 7,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.97 : 12,648.33 = 5,132.16 : x
  2. Step 2: Convert to fraction form
    9,164.97/12,648.33 = 5,132.16/x
  3. Step 3: Cross multiply
    9,164.97x = 12,648.33 × 5,132.16
  4. Step 4: Simplify right side
    9,164.97x = 64,913,253.29
  5. Step 5: Solve for x
    x = 64,913,253.29/9,164.97
  6. Step 6: Final answer
    x = 7,082.76

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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.