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Finding the Fourth Proportional to 9,432.52, 13,016.70 and 5,183.68

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Solution

The fourth proportional to 9,432.52, 13,016.70 and 5,183.68 is: 7,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.52 : 13,016.70 = 5,183.68 : x
  2. Step 2: Convert to fraction form
    9,432.52/13,016.70 = 5,183.68/x
  3. Step 3: Cross multiply
    9,432.52x = 13,016.70 × 5,183.68
  4. Step 4: Simplify right side
    9,432.52x = 67,474,407.46
  5. Step 5: Solve for x
    x = 67,474,407.46/9,432.52
  6. Step 6: Final answer
    x = 7,153.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.