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Finding the Fourth Proportional to 9,565.44, 13,200.60 and 5,789.30

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Solution

The fourth proportional to 9,565.44, 13,200.60 and 5,789.30 is: 7,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.44 : 13,200.60 = 5,789.30 : x
  2. Step 2: Convert to fraction form
    9,565.44/13,200.60 = 5,789.30/x
  3. Step 3: Cross multiply
    9,565.44x = 13,200.60 × 5,789.30
  4. Step 4: Simplify right side
    9,565.44x = 76,422,177.57
  5. Step 5: Solve for x
    x = 76,422,177.57/9,565.44
  6. Step 6: Final answer
    x = 7,989.40

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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.