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Finding the Fourth Proportional to 9,624.38, 13,281.54 and 5,432.54

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Solution

The fourth proportional to 9,624.38, 13,281.54 and 5,432.54 is: 7,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.38 : 13,281.54 = 5,432.54 : x
  2. Step 2: Convert to fraction form
    9,624.38/13,281.54 = 5,432.54/x
  3. Step 3: Cross multiply
    9,624.38x = 13,281.54 × 5,432.54
  4. Step 4: Simplify right side
    9,624.38x = 72,152,497.31
  5. Step 5: Solve for x
    x = 72,152,497.31/9,624.38
  6. Step 6: Final answer
    x = 7,496.85

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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.