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Finding the Fourth Proportional to 6,346.62, 9,471.73 and 6,199.20

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Solution

The fourth proportional to 6,346.62, 9,471.73 and 6,199.20 is: 9,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.62 : 9,471.73 = 6,199.20 : x
  2. Step 2: Convert to fraction form
    6,346.62/9,471.73 = 6,199.20/x
  3. Step 3: Cross multiply
    6,346.62x = 9,471.73 × 6,199.20
  4. Step 4: Simplify right side
    6,346.62x = 58,717,148.62
  5. Step 5: Solve for x
    x = 58,717,148.62/6,346.62
  6. Step 6: Final answer
    x = 9,251.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.