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Finding the Fourth Proportional to 9,842.90, 14,760.42 and 3,601.48

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Solution

The fourth proportional to 9,842.90, 14,760.42 and 3,601.48 is: 5,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.90 : 14,760.42 = 3,601.48 : x
  2. Step 2: Convert to fraction form
    9,842.90/14,760.42 = 3,601.48/x
  3. Step 3: Cross multiply
    9,842.90x = 14,760.42 × 3,601.48
  4. Step 4: Simplify right side
    9,842.90x = 53,159,357.42
  5. Step 5: Solve for x
    x = 53,159,357.42/9,842.90
  6. Step 6: Final answer
    x = 5,400.78

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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.