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Finding the Fourth Proportional to 9,904.80, 13,667.82 and 5,924.46

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Solution

The fourth proportional to 9,904.80, 13,667.82 and 5,924.46 is: 8,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.80 : 13,667.82 = 5,924.46 : x
  2. Step 2: Convert to fraction form
    9,904.80/13,667.82 = 5,924.46/x
  3. Step 3: Cross multiply
    9,904.80x = 13,667.82 × 5,924.46
  4. Step 4: Simplify right side
    9,904.80x = 80,974,452.88
  5. Step 5: Solve for x
    x = 80,974,452.88/9,904.80
  6. Step 6: Final answer
    x = 8,175.27

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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.