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Finding the Fourth Proportional to 6,569.26, 9,856.62 and 3,281.47

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Solution

The fourth proportional to 6,569.26, 9,856.62 and 3,281.47 is: 4,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.26 : 9,856.62 = 3,281.47 : x
  2. Step 2: Convert to fraction form
    6,569.26/9,856.62 = 3,281.47/x
  3. Step 3: Cross multiply
    6,569.26x = 9,856.62 × 3,281.47
  4. Step 4: Simplify right side
    6,569.26x = 32,344,202.83
  5. Step 5: Solve for x
    x = 32,344,202.83/6,569.26
  6. Step 6: Final answer
    x = 4,923.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.