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Finding the Fourth Proportional to 9,687.10, 14,523.45 and 4,135.90

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Solution

The fourth proportional to 9,687.10, 14,523.45 and 4,135.90 is: 6,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.10 : 14,523.45 = 4,135.90 : x
  2. Step 2: Convert to fraction form
    9,687.10/14,523.45 = 4,135.90/x
  3. Step 3: Cross multiply
    9,687.10x = 14,523.45 × 4,135.90
  4. Step 4: Simplify right side
    9,687.10x = 60,067,536.86
  5. Step 5: Solve for x
    x = 60,067,536.86/9,687.10
  6. Step 6: Final answer
    x = 6,200.78

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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.