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Finding the Fourth Proportional to 6,125.88, 9,190.88 and 2,429.18

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Solution

The fourth proportional to 6,125.88, 9,190.88 and 2,429.18 is: 3,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.88 : 9,190.88 = 2,429.18 : x
  2. Step 2: Convert to fraction form
    6,125.88/9,190.88 = 2,429.18/x
  3. Step 3: Cross multiply
    6,125.88x = 9,190.88 × 2,429.18
  4. Step 4: Simplify right side
    6,125.88x = 22,326,243.78
  5. Step 5: Solve for x
    x = 22,326,243.78/6,125.88
  6. Step 6: Final answer
    x = 3,644.58

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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.