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Finding the Fourth Proportional to 9,444.88, 14,162.61 and 5,497.45

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Solution

The fourth proportional to 9,444.88, 14,162.61 and 5,497.45 is: 8,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.88 : 14,162.61 = 5,497.45 : x
  2. Step 2: Convert to fraction form
    9,444.88/14,162.61 = 5,497.45/x
  3. Step 3: Cross multiply
    9,444.88x = 14,162.61 × 5,497.45
  4. Step 4: Simplify right side
    9,444.88x = 77,858,169.53
  5. Step 5: Solve for x
    x = 77,858,169.53/9,444.88
  6. Step 6: Final answer
    x = 8,243.43

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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.