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Finding the Fourth Proportional to 9,874.38, 14,801.76 and 4,035.18

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Solution

The fourth proportional to 9,874.38, 14,801.76 and 4,035.18 is: 6,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.38 : 14,801.76 = 4,035.18 : x
  2. Step 2: Convert to fraction form
    9,874.38/14,801.76 = 4,035.18/x
  3. Step 3: Cross multiply
    9,874.38x = 14,801.76 × 4,035.18
  4. Step 4: Simplify right side
    9,874.38x = 59,727,765.92
  5. Step 5: Solve for x
    x = 59,727,765.92/9,874.38
  6. Step 6: Final answer
    x = 6,048.76

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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.