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Finding the Fourth Proportional to 6,211.33, 9,317.00 and 4,257.61

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Solution

The fourth proportional to 6,211.33, 9,317.00 and 4,257.61 is: 6,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.33 : 9,317.00 = 4,257.61 : x
  2. Step 2: Convert to fraction form
    6,211.33/9,317.00 = 4,257.61/x
  3. Step 3: Cross multiply
    6,211.33x = 9,317.00 × 4,257.61
  4. Step 4: Simplify right side
    6,211.33x = 39,668,131.08
  5. Step 5: Solve for x
    x = 39,668,131.08/6,211.33
  6. Step 6: Final answer
    x = 6,386.42

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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.