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Finding the Fourth Proportional to 9,923.15, 13,693.90 and 5,446.78

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Solution

The fourth proportional to 9,923.15, 13,693.90 and 5,446.78 is: 7,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.15 : 13,693.90 = 5,446.78 : x
  2. Step 2: Convert to fraction form
    9,923.15/13,693.90 = 5,446.78/x
  3. Step 3: Cross multiply
    9,923.15x = 13,693.90 × 5,446.78
  4. Step 4: Simplify right side
    9,923.15x = 74,587,660.64
  5. Step 5: Solve for x
    x = 74,587,660.64/9,923.15
  6. Step 6: Final answer
    x = 7,516.53

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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.