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Finding the Fourth Proportional to 9,411.98, 12,988.01 and 5,432.85

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Solution

The fourth proportional to 9,411.98, 12,988.01 and 5,432.85 is: 7,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.98 : 12,988.01 = 5,432.85 : x
  2. Step 2: Convert to fraction form
    9,411.98/12,988.01 = 5,432.85/x
  3. Step 3: Cross multiply
    9,411.98x = 12,988.01 × 5,432.85
  4. Step 4: Simplify right side
    9,411.98x = 70,561,923.71
  5. Step 5: Solve for x
    x = 70,561,923.71/9,411.98
  6. Step 6: Final answer
    x = 7,497.04

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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.