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Finding the Fourth Proportional to 6,565.62, 9,060.61 and 3,581.48

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Solution

The fourth proportional to 6,565.62, 9,060.61 and 3,581.48 is: 4,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.62 : 9,060.61 = 3,581.48 : x
  2. Step 2: Convert to fraction form
    6,565.62/9,060.61 = 3,581.48/x
  3. Step 3: Cross multiply
    6,565.62x = 9,060.61 × 3,581.48
  4. Step 4: Simplify right side
    6,565.62x = 32,450,413.92
  5. Step 5: Solve for x
    x = 32,450,413.92/6,565.62
  6. Step 6: Final answer
    x = 4,942.47

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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.