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Finding the Fourth Proportional to 9,380.91, 12,945.42 and 5,132.00

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Solution

The fourth proportional to 9,380.91, 12,945.42 and 5,132.00 is: 7,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.91 : 12,945.42 = 5,132.00 : x
  2. Step 2: Convert to fraction form
    9,380.91/12,945.42 = 5,132.00/x
  3. Step 3: Cross multiply
    9,380.91x = 12,945.42 × 5,132.00
  4. Step 4: Simplify right side
    9,380.91x = 66,435,830.71
  5. Step 5: Solve for x
    x = 66,435,830.71/9,380.91
  6. Step 6: Final answer
    x = 7,082.02

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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.