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Finding the Fourth Proportional to 6,565.84, 9,060.92 and 3,581.69

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Solution

The fourth proportional to 6,565.84, 9,060.92 and 3,581.69 is: 4,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.84 : 9,060.92 = 3,581.69 : x
  2. Step 2: Convert to fraction form
    6,565.84/9,060.92 = 3,581.69/x
  3. Step 3: Cross multiply
    6,565.84x = 9,060.92 × 3,581.69
  4. Step 4: Simplify right side
    6,565.84x = 32,453,390.75
  5. Step 5: Solve for x
    x = 32,453,390.75/6,565.84
  6. Step 6: Final answer
    x = 4,942.76

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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.