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Finding the Fourth Proportional to 6,193.76, 8,538.95 and 4,422.29

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Solution

The fourth proportional to 6,193.76, 8,538.95 and 4,422.29 is: 6,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.76 : 8,538.95 = 4,422.29 : x
  2. Step 2: Convert to fraction form
    6,193.76/8,538.95 = 4,422.29/x
  3. Step 3: Cross multiply
    6,193.76x = 8,538.95 × 4,422.29
  4. Step 4: Simplify right side
    6,193.76x = 37,761,681.56
  5. Step 5: Solve for x
    x = 37,761,681.56/6,193.76
  6. Step 6: Final answer
    x = 6,096.73

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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.