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Finding the Fourth Proportional to 9,444.92, 14,168.10 and 2,780.96

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Solution

The fourth proportional to 9,444.92, 14,168.10 and 2,780.96 is: 4,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.92 : 14,168.10 = 2,780.96 : x
  2. Step 2: Convert to fraction form
    9,444.92/14,168.10 = 2,780.96/x
  3. Step 3: Cross multiply
    9,444.92x = 14,168.10 × 2,780.96
  4. Step 4: Simplify right side
    9,444.92x = 39,400,919.38
  5. Step 5: Solve for x
    x = 39,400,919.38/9,444.92
  6. Step 6: Final answer
    x = 4,171.65

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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.