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Finding the Fourth Proportional to 9,760.89, 14,642.31 and 2,740.92

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Solution

The fourth proportional to 9,760.89, 14,642.31 and 2,740.92 is: 4,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.89 : 14,642.31 = 2,740.92 : x
  2. Step 2: Convert to fraction form
    9,760.89/14,642.31 = 2,740.92/x
  3. Step 3: Cross multiply
    9,760.89x = 14,642.31 × 2,740.92
  4. Step 4: Simplify right side
    9,760.89x = 40,133,400.33
  5. Step 5: Solve for x
    x = 40,133,400.33/9,760.89
  6. Step 6: Final answer
    x = 4,111.65

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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.