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Finding the Fourth Proportional to 6,217.48, 9,326.22 and 1,537.54

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Solution

The fourth proportional to 6,217.48, 9,326.22 and 1,537.54 is: 2,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.48 : 9,326.22 = 1,537.54 : x
  2. Step 2: Convert to fraction form
    6,217.48/9,326.22 = 1,537.54/x
  3. Step 3: Cross multiply
    6,217.48x = 9,326.22 × 1,537.54
  4. Step 4: Simplify right side
    6,217.48x = 14,339,436.30
  5. Step 5: Solve for x
    x = 14,339,436.30/6,217.48
  6. Step 6: Final answer
    x = 2,306.31

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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.