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Finding the Fourth Proportional to 6,565.59, 9,059.85 and 4,047.30

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Solution

The fourth proportional to 6,565.59, 9,059.85 and 4,047.30 is: 5,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.59 : 9,059.85 = 4,047.30 : x
  2. Step 2: Convert to fraction form
    6,565.59/9,059.85 = 4,047.30/x
  3. Step 3: Cross multiply
    6,565.59x = 9,059.85 × 4,047.30
  4. Step 4: Simplify right side
    6,565.59x = 36,667,930.91
  5. Step 5: Solve for x
    x = 36,667,930.91/6,565.59
  6. Step 6: Final answer
    x = 5,584.86

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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.