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Finding the Fourth Proportional to 6,353.26, 9,540.72 and 4,135.87

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Solution

The fourth proportional to 6,353.26, 9,540.72 and 4,135.87 is: 6,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.26 : 9,540.72 = 4,135.87 : x
  2. Step 2: Convert to fraction form
    6,353.26/9,540.72 = 4,135.87/x
  3. Step 3: Cross multiply
    6,353.26x = 9,540.72 × 4,135.87
  4. Step 4: Simplify right side
    6,353.26x = 39,459,177.63
  5. Step 5: Solve for x
    x = 39,459,177.63/6,353.26
  6. Step 6: Final answer
    x = 6,210.86

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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.