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Finding the Fourth Proportional to 9,286.40, 13,924.10 and 6,168.08

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Solution

The fourth proportional to 9,286.40, 13,924.10 and 6,168.08 is: 9,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.40 : 13,924.10 = 6,168.08 : x
  2. Step 2: Convert to fraction form
    9,286.40/13,924.10 = 6,168.08/x
  3. Step 3: Cross multiply
    9,286.40x = 13,924.10 × 6,168.08
  4. Step 4: Simplify right side
    9,286.40x = 85,884,962.73
  5. Step 5: Solve for x
    x = 85,884,962.73/9,286.40
  6. Step 6: Final answer
    x = 9,248.47

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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.