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Finding the Fourth Proportional to 9,760.92, 14,643.42 and 3,187.48

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Solution

The fourth proportional to 9,760.92, 14,643.42 and 3,187.48 is: 4,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.92 : 14,643.42 = 3,187.48 : x
  2. Step 2: Convert to fraction form
    9,760.92/14,643.42 = 3,187.48/x
  3. Step 3: Cross multiply
    9,760.92x = 14,643.42 × 3,187.48
  4. Step 4: Simplify right side
    9,760.92x = 46,675,608.38
  5. Step 5: Solve for x
    x = 46,675,608.38/9,760.92
  6. Step 6: Final answer
    x = 4,781.89

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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.