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Finding the Fourth Proportional to 6,125.44, 9,188.10 and 1,508.44

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Solution

The fourth proportional to 6,125.44, 9,188.10 and 1,508.44 is: 2,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.44 : 9,188.10 = 1,508.44 : x
  2. Step 2: Convert to fraction form
    6,125.44/9,188.10 = 1,508.44/x
  3. Step 3: Cross multiply
    6,125.44x = 9,188.10 × 1,508.44
  4. Step 4: Simplify right side
    6,125.44x = 13,859,697.56
  5. Step 5: Solve for x
    x = 13,859,697.56/6,125.44
  6. Step 6: Final answer
    x = 2,262.65

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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.