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Finding the Fourth Proportional to 6,589.17, 9,886.23 and 3,424.64

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Solution

The fourth proportional to 6,589.17, 9,886.23 and 3,424.64 is: 5,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.17 : 9,886.23 = 3,424.64 : x
  2. Step 2: Convert to fraction form
    6,589.17/9,886.23 = 3,424.64/x
  3. Step 3: Cross multiply
    6,589.17x = 9,886.23 × 3,424.64
  4. Step 4: Simplify right side
    6,589.17x = 33,856,729.28
  5. Step 5: Solve for x
    x = 33,856,729.28/6,589.17
  6. Step 6: Final answer
    x = 5,138.24

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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.