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Finding the Fourth Proportional to 9,248.31, 13,881.83 and 8,200.85

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Solution

The fourth proportional to 9,248.31, 13,881.83 and 8,200.85 is: 12,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.31 : 13,881.83 = 8,200.85 : x
  2. Step 2: Convert to fraction form
    9,248.31/13,881.83 = 8,200.85/x
  3. Step 3: Cross multiply
    9,248.31x = 13,881.83 × 8,200.85
  4. Step 4: Simplify right side
    9,248.31x = 113,842,695.14
  5. Step 5: Solve for x
    x = 113,842,695.14/9,248.31
  6. Step 6: Final answer
    x = 12,309.57

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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.