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Finding the Fourth Proportional to 9,444.38, 14,162.78 and 2,869.34

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Solution

The fourth proportional to 9,444.38, 14,162.78 and 2,869.34 is: 4,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.38 : 14,162.78 = 2,869.34 : x
  2. Step 2: Convert to fraction form
    9,444.38/14,162.78 = 2,869.34/x
  3. Step 3: Cross multiply
    9,444.38x = 14,162.78 × 2,869.34
  4. Step 4: Simplify right side
    9,444.38x = 40,637,767.52
  5. Step 5: Solve for x
    x = 40,637,767.52/9,444.38
  6. Step 6: Final answer
    x = 4,302.85

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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.