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Finding the Fourth Proportional to 9,454.40, 13,046.82 and 5,262.56

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Solution

The fourth proportional to 9,454.40, 13,046.82 and 5,262.56 is: 7,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.40 : 13,046.82 = 5,262.56 : x
  2. Step 2: Convert to fraction form
    9,454.40/13,046.82 = 5,262.56/x
  3. Step 3: Cross multiply
    9,454.40x = 13,046.82 × 5,262.56
  4. Step 4: Simplify right side
    9,454.40x = 68,659,673.06
  5. Step 5: Solve for x
    x = 68,659,673.06/9,454.40
  6. Step 6: Final answer
    x = 7,262.19

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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.