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Finding the Fourth Proportional to 9,944.68, 14,878.50 and 7,177.72

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Solution

The fourth proportional to 9,944.68, 14,878.50 and 7,177.72 is: 10,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.68 : 14,878.50 = 7,177.72 : x
  2. Step 2: Convert to fraction form
    9,944.68/14,878.50 = 7,177.72/x
  3. Step 3: Cross multiply
    9,944.68x = 14,878.50 × 7,177.72
  4. Step 4: Simplify right side
    9,944.68x = 106,793,707.02
  5. Step 5: Solve for x
    x = 106,793,707.02/9,944.68
  6. Step 6: Final answer
    x = 10,738.78

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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.