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Finding the Fourth Proportional to 6,638.69, 9,158.25 and 4,119.87

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Solution

The fourth proportional to 6,638.69, 9,158.25 and 4,119.87 is: 5,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.69 : 9,158.25 = 4,119.87 : x
  2. Step 2: Convert to fraction form
    6,638.69/9,158.25 = 4,119.87/x
  3. Step 3: Cross multiply
    6,638.69x = 9,158.25 × 4,119.87
  4. Step 4: Simplify right side
    6,638.69x = 37,730,799.43
  5. Step 5: Solve for x
    x = 37,730,799.43/6,638.69
  6. Step 6: Final answer
    x = 5,683.47

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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.