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Finding the Fourth Proportional to 9,944.34, 13,722.80 and 5,468.02

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Solution

The fourth proportional to 9,944.34, 13,722.80 and 5,468.02 is: 7,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.34 : 13,722.80 = 5,468.02 : x
  2. Step 2: Convert to fraction form
    9,944.34/13,722.80 = 5,468.02/x
  3. Step 3: Cross multiply
    9,944.34x = 13,722.80 × 5,468.02
  4. Step 4: Simplify right side
    9,944.34x = 75,036,544.86
  5. Step 5: Solve for x
    x = 75,036,544.86/9,944.34
  6. Step 6: Final answer
    x = 7,545.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.