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Finding the Fourth Proportional to 6,565.69, 9,060.71 and 3,581.56

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Solution

The fourth proportional to 6,565.69, 9,060.71 and 3,581.56 is: 4,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.69 : 9,060.71 = 3,581.56 : x
  2. Step 2: Convert to fraction form
    6,565.69/9,060.71 = 3,581.56/x
  3. Step 3: Cross multiply
    6,565.69x = 9,060.71 × 3,581.56
  4. Step 4: Simplify right side
    6,565.69x = 32,451,476.51
  5. Step 5: Solve for x
    x = 32,451,476.51/6,565.69
  6. Step 6: Final answer
    x = 4,942.58

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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.