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Finding the Fourth Proportional to 9,908.96, 13,674.70 and 5,432.71

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Solution

The fourth proportional to 9,908.96, 13,674.70 and 5,432.71 is: 7,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.96 : 13,674.70 = 5,432.71 : x
  2. Step 2: Convert to fraction form
    9,908.96/13,674.70 = 5,432.71/x
  3. Step 3: Cross multiply
    9,908.96x = 13,674.70 × 5,432.71
  4. Step 4: Simplify right side
    9,908.96x = 74,290,679.44
  5. Step 5: Solve for x
    x = 74,290,679.44/9,908.96
  6. Step 6: Final answer
    x = 7,497.32

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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.