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Finding the Fourth Proportional to 9,452.81, 13,044.86 and 5,866.43

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Solution

The fourth proportional to 9,452.81, 13,044.86 and 5,866.43 is: 8,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.81 : 13,044.86 = 5,866.43 : x
  2. Step 2: Convert to fraction form
    9,452.81/13,044.86 = 5,866.43/x
  3. Step 3: Cross multiply
    9,452.81x = 13,044.86 × 5,866.43
  4. Step 4: Simplify right side
    9,452.81x = 76,526,707.49
  5. Step 5: Solve for x
    x = 76,526,707.49/9,452.81
  6. Step 6: Final answer
    x = 8,095.66

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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.