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Finding the Fourth Proportional to 9,454.25, 13,046.87 and 5,262.41

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Solution

The fourth proportional to 9,454.25, 13,046.87 and 5,262.41 is: 7,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.25 : 13,046.87 = 5,262.41 : x
  2. Step 2: Convert to fraction form
    9,454.25/13,046.87 = 5,262.41/x
  3. Step 3: Cross multiply
    9,454.25x = 13,046.87 × 5,262.41
  4. Step 4: Simplify right side
    9,454.25x = 68,657,952.84
  5. Step 5: Solve for x
    x = 68,657,952.84/9,454.25
  6. Step 6: Final answer
    x = 7,262.13

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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.