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Finding the Fourth Proportional to 9,349.20, 14,023.80 and 8,255.70

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Solution

The fourth proportional to 9,349.20, 14,023.80 and 8,255.70 is: 12,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.20 : 14,023.80 = 8,255.70 : x
  2. Step 2: Convert to fraction form
    9,349.20/14,023.80 = 8,255.70/x
  3. Step 3: Cross multiply
    9,349.20x = 14,023.80 × 8,255.70
  4. Step 4: Simplify right side
    9,349.20x = 115,776,285.66
  5. Step 5: Solve for x
    x = 115,776,285.66/9,349.20
  6. Step 6: Final answer
    x = 12,383.55

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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.