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Finding the Fourth Proportional to 6,186.89, 8,538.12 and 4,422.71

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Solution

The fourth proportional to 6,186.89, 8,538.12 and 4,422.71 is: 6,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.89 : 8,538.12 = 4,422.71 : x
  2. Step 2: Convert to fraction form
    6,186.89/8,538.12 = 4,422.71/x
  3. Step 3: Cross multiply
    6,186.89x = 8,538.12 × 4,422.71
  4. Step 4: Simplify right side
    6,186.89x = 37,761,586.01
  5. Step 5: Solve for x
    x = 37,761,586.01/6,186.89
  6. Step 6: Final answer
    x = 6,103.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.