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Finding the Fourth Proportional to 9,454.57, 13,047.18 and 5,262.82

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Solution

The fourth proportional to 9,454.57, 13,047.18 and 5,262.82 is: 7,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.57 : 13,047.18 = 5,262.82 : x
  2. Step 2: Convert to fraction form
    9,454.57/13,047.18 = 5,262.82/x
  3. Step 3: Cross multiply
    9,454.57x = 13,047.18 × 5,262.82
  4. Step 4: Simplify right side
    9,454.57x = 68,664,907.49
  5. Step 5: Solve for x
    x = 68,664,907.49/9,454.57
  6. Step 6: Final answer
    x = 7,262.62

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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.