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Finding the Fourth Proportional to 9,449.25, 13,034.08 and 6,800.14

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Solution

The fourth proportional to 9,449.25, 13,034.08 and 6,800.14 is: 9,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.25 : 13,034.08 = 6,800.14 : x
  2. Step 2: Convert to fraction form
    9,449.25/13,034.08 = 6,800.14/x
  3. Step 3: Cross multiply
    9,449.25x = 13,034.08 × 6,800.14
  4. Step 4: Simplify right side
    9,449.25x = 88,633,568.77
  5. Step 5: Solve for x
    x = 88,633,568.77/9,449.25
  6. Step 6: Final answer
    x = 9,379.96

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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.