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Finding the Fourth Proportional to 6,447.16, 9,683.70 and 5,633.92

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Solution

The fourth proportional to 6,447.16, 9,683.70 and 5,633.92 is: 8,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.16 : 9,683.70 = 5,633.92 : x
  2. Step 2: Convert to fraction form
    6,447.16/9,683.70 = 5,633.92/x
  3. Step 3: Cross multiply
    6,447.16x = 9,683.70 × 5,633.92
  4. Step 4: Simplify right side
    6,447.16x = 54,557,191.10
  5. Step 5: Solve for x
    x = 54,557,191.10/6,447.16
  6. Step 6: Final answer
    x = 8,462.21

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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.