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Finding the Fourth Proportional to 9,757.16, 13,464.92 and 5,280.91

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Solution

The fourth proportional to 9,757.16, 13,464.92 and 5,280.91 is: 7,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.16 : 13,464.92 = 5,280.91 : x
  2. Step 2: Convert to fraction form
    9,757.16/13,464.92 = 5,280.91/x
  3. Step 3: Cross multiply
    9,757.16x = 13,464.92 × 5,280.91
  4. Step 4: Simplify right side
    9,757.16x = 71,107,010.22
  5. Step 5: Solve for x
    x = 71,107,010.22/9,757.16
  6. Step 6: Final answer
    x = 7,287.68

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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.