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Finding the Fourth Proportional to 9,432.69, 13,016.49 and 5,183.66

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Solution

The fourth proportional to 9,432.69, 13,016.49 and 5,183.66 is: 7,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.69 : 13,016.49 = 5,183.66 : x
  2. Step 2: Convert to fraction form
    9,432.69/13,016.49 = 5,183.66/x
  3. Step 3: Cross multiply
    9,432.69x = 13,016.49 × 5,183.66
  4. Step 4: Simplify right side
    9,432.69x = 67,473,110.94
  5. Step 5: Solve for x
    x = 67,473,110.94/9,432.69
  6. Step 6: Final answer
    x = 7,153.11

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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.