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Finding the Fourth Proportional to 9,444.38, 14,161.86 and 5,496.95

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Solution

The fourth proportional to 9,444.38, 14,161.86 and 5,496.95 is: 8,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.38 : 14,161.86 = 5,496.95 : x
  2. Step 2: Convert to fraction form
    9,444.38/14,161.86 = 5,496.95/x
  3. Step 3: Cross multiply
    9,444.38x = 14,161.86 × 5,496.95
  4. Step 4: Simplify right side
    9,444.38x = 77,846,965.52
  5. Step 5: Solve for x
    x = 77,846,965.52/9,444.38
  6. Step 6: Final answer
    x = 8,242.68

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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.