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Finding the Fourth Proportional to 6,141.47, 9,205.64 and 3,503.29

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Solution

The fourth proportional to 6,141.47, 9,205.64 and 3,503.29 is: 5,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.47 : 9,205.64 = 3,503.29 : x
  2. Step 2: Convert to fraction form
    6,141.47/9,205.64 = 3,503.29/x
  3. Step 3: Cross multiply
    6,141.47x = 9,205.64 × 3,503.29
  4. Step 4: Simplify right side
    6,141.47x = 32,250,026.56
  5. Step 5: Solve for x
    x = 32,250,026.56/6,141.47
  6. Step 6: Final answer
    x = 5,251.19

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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.