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Finding the Fourth Proportional to 9,404.32, 14,116.20 and 5,944

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Solution

The fourth proportional to 9,404.32, 14,116.20 and 5,944 is: 8,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.32 : 14,116.20 = 5,944 : x
  2. Step 2: Convert to fraction form
    9,404.32/14,116.20 = 5,944/x
  3. Step 3: Cross multiply
    9,404.32x = 14,116.20 × 5,944
  4. Step 4: Simplify right side
    9,404.32x = 83,906,692.80
  5. Step 5: Solve for x
    x = 83,906,692.80/9,404.32
  6. Step 6: Final answer
    x = 8,922.14

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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.