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Finding the Fourth Proportional to 29,397.14, 44,098.63 and 9,401.61

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Solution

The fourth proportional to 29,397.14, 44,098.63 and 9,401.61 is: 14,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,397.14 : 44,098.63 = 9,401.61 : x
  2. Step 2: Convert to fraction form
    29,397.14/44,098.63 = 9,401.61/x
  3. Step 3: Cross multiply
    29,397.14x = 44,098.63 × 9,401.61
  4. Step 4: Simplify right side
    29,397.14x = 414,597,853.29
  5. Step 5: Solve for x
    x = 414,597,853.29/29,397.14
  6. Step 6: Final answer
    x = 14,103.34

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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.