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Finding the Fourth Proportional to 9,494.65, 13,098.59 and 6,351.85

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Solution

The fourth proportional to 9,494.65, 13,098.59 and 6,351.85 is: 8,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.65 : 13,098.59 = 6,351.85 : x
  2. Step 2: Convert to fraction form
    9,494.65/13,098.59 = 6,351.85/x
  3. Step 3: Cross multiply
    9,494.65x = 13,098.59 × 6,351.85
  4. Step 4: Simplify right side
    9,494.65x = 83,200,213.40
  5. Step 5: Solve for x
    x = 83,200,213.40/9,494.65
  6. Step 6: Final answer
    x = 8,762.86

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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.