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Finding the Fourth Proportional to 8,193.88, 12,289.46 and 2,349.13

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Solution

The fourth proportional to 8,193.88, 12,289.46 and 2,349.13 is: 3,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.88 : 12,289.46 = 2,349.13 : x
  2. Step 2: Convert to fraction form
    8,193.88/12,289.46 = 2,349.13/x
  3. Step 3: Cross multiply
    8,193.88x = 12,289.46 × 2,349.13
  4. Step 4: Simplify right side
    8,193.88x = 28,869,539.17
  5. Step 5: Solve for x
    x = 28,869,539.17/8,193.88
  6. Step 6: Final answer
    x = 3,523.31

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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.