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Finding the Fourth Proportional to 6,565.28, 9,059.72 and 3,770.78

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Solution

The fourth proportional to 6,565.28, 9,059.72 and 3,770.78 is: 5,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.28 : 9,059.72 = 3,770.78 : x
  2. Step 2: Convert to fraction form
    6,565.28/9,059.72 = 3,770.78/x
  3. Step 3: Cross multiply
    6,565.28x = 9,059.72 × 3,770.78
  4. Step 4: Simplify right side
    6,565.28x = 34,162,210.98
  5. Step 5: Solve for x
    x = 34,162,210.98/6,565.28
  6. Step 6: Final answer
    x = 5,203.47

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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.