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Finding the Fourth Proportional to 9,600.71, 14,398.90 and 3,444.71

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Solution

The fourth proportional to 9,600.71, 14,398.90 and 3,444.71 is: 5,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.71 : 14,398.90 = 3,444.71 : x
  2. Step 2: Convert to fraction form
    9,600.71/14,398.90 = 3,444.71/x
  3. Step 3: Cross multiply
    9,600.71x = 14,398.90 × 3,444.71
  4. Step 4: Simplify right side
    9,600.71x = 49,599,954.21
  5. Step 5: Solve for x
    x = 49,599,954.21/9,600.71
  6. Step 6: Final answer
    x = 5,166.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.