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Finding the Fourth Proportional to 9,200.12, 13,799.88 and 5,477.43

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Solution

The fourth proportional to 9,200.12, 13,799.88 and 5,477.43 is: 8,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.12 : 13,799.88 = 5,477.43 : x
  2. Step 2: Convert to fraction form
    9,200.12/13,799.88 = 5,477.43/x
  3. Step 3: Cross multiply
    9,200.12x = 13,799.88 × 5,477.43
  4. Step 4: Simplify right side
    9,200.12x = 75,587,876.71
  5. Step 5: Solve for x
    x = 75,587,876.71/9,200.12
  6. Step 6: Final answer
    x = 8,215.97

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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.