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Finding the Fourth Proportional to 9,902.32, 13,667.34 and 5,924.32

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Solution

The fourth proportional to 9,902.32, 13,667.34 and 5,924.32 is: 8,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.32 : 13,667.34 = 5,924.32 : x
  2. Step 2: Convert to fraction form
    9,902.32/13,667.34 = 5,924.32/x
  3. Step 3: Cross multiply
    9,902.32x = 13,667.34 × 5,924.32
  4. Step 4: Simplify right side
    9,902.32x = 80,969,695.71
  5. Step 5: Solve for x
    x = 80,969,695.71/9,902.32
  6. Step 6: Final answer
    x = 8,176.84

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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.