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Finding the Fourth Proportional to 9,645.41, 13,306.74 and 6,287.04

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Solution

The fourth proportional to 9,645.41, 13,306.74 and 6,287.04 is: 8,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.41 : 13,306.74 = 6,287.04 : x
  2. Step 2: Convert to fraction form
    9,645.41/13,306.74 = 6,287.04/x
  3. Step 3: Cross multiply
    9,645.41x = 13,306.74 × 6,287.04
  4. Step 4: Simplify right side
    9,645.41x = 83,660,006.65
  5. Step 5: Solve for x
    x = 83,660,006.65/9,645.41
  6. Step 6: Final answer
    x = 8,673.56

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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.