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Finding the Fourth Proportional to 9,399.81, 14,095.29 and 5,452.19

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Solution

The fourth proportional to 9,399.81, 14,095.29 and 5,452.19 is: 8,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.81 : 14,095.29 = 5,452.19 : x
  2. Step 2: Convert to fraction form
    9,399.81/14,095.29 = 5,452.19/x
  3. Step 3: Cross multiply
    9,399.81x = 14,095.29 × 5,452.19
  4. Step 4: Simplify right side
    9,399.81x = 76,850,128.71
  5. Step 5: Solve for x
    x = 76,850,128.71/9,399.81
  6. Step 6: Final answer
    x = 8,175.71

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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.