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Finding the Fourth Proportional to 6,236.47, 9,348.49 and 3,464.38

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Solution

The fourth proportional to 6,236.47, 9,348.49 and 3,464.38 is: 5,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.47 : 9,348.49 = 3,464.38 : x
  2. Step 2: Convert to fraction form
    6,236.47/9,348.49 = 3,464.38/x
  3. Step 3: Cross multiply
    6,236.47x = 9,348.49 × 3,464.38
  4. Step 4: Simplify right side
    6,236.47x = 32,386,721.79
  5. Step 5: Solve for x
    x = 32,386,721.79/6,236.47
  6. Step 6: Final answer
    x = 5,193.12

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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.