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Finding the Fourth Proportional to 9,046.40, 13,546.23 and 6,243.88

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Solution

The fourth proportional to 9,046.40, 13,546.23 and 6,243.88 is: 9,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.40 : 13,546.23 = 6,243.88 : x
  2. Step 2: Convert to fraction form
    9,046.40/13,546.23 = 6,243.88/x
  3. Step 3: Cross multiply
    9,046.40x = 13,546.23 × 6,243.88
  4. Step 4: Simplify right side
    9,046.40x = 84,581,034.57
  5. Step 5: Solve for x
    x = 84,581,034.57/9,046.40
  6. Step 6: Final answer
    x = 9,349.69

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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.