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Finding the Fourth Proportional to 9,532.69, 13,155.11 and 5,806.69

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Solution

The fourth proportional to 9,532.69, 13,155.11 and 5,806.69 is: 8,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.69 : 13,155.11 = 5,806.69 : x
  2. Step 2: Convert to fraction form
    9,532.69/13,155.11 = 5,806.69/x
  3. Step 3: Cross multiply
    9,532.69x = 13,155.11 × 5,806.69
  4. Step 4: Simplify right side
    9,532.69x = 76,387,605.54
  5. Step 5: Solve for x
    x = 76,387,605.54/9,532.69
  6. Step 6: Final answer
    x = 8,013.23

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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.