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Finding the Fourth Proportional to 6,442.29, 8,889.84 and 3,609.44

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Solution

The fourth proportional to 6,442.29, 8,889.84 and 3,609.44 is: 4,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.29 : 8,889.84 = 3,609.44 : x
  2. Step 2: Convert to fraction form
    6,442.29/8,889.84 = 3,609.44/x
  3. Step 3: Cross multiply
    6,442.29x = 8,889.84 × 3,609.44
  4. Step 4: Simplify right side
    6,442.29x = 32,087,344.09
  5. Step 5: Solve for x
    x = 32,087,344.09/6,442.29
  6. Step 6: Final answer
    x = 4,980.74

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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.