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Finding the Fourth Proportional to 6,565.46, 9,060.05 and 3,581.25

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Solution

The fourth proportional to 6,565.46, 9,060.05 and 3,581.25 is: 4,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.46 : 9,060.05 = 3,581.25 : x
  2. Step 2: Convert to fraction form
    6,565.46/9,060.05 = 3,581.25/x
  3. Step 3: Cross multiply
    6,565.46x = 9,060.05 × 3,581.25
  4. Step 4: Simplify right side
    6,565.46x = 32,446,279.04
  5. Step 5: Solve for x
    x = 32,446,279.04/6,565.46
  6. Step 6: Final answer
    x = 4,941.97

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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.