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Finding the Fourth Proportional to 9,739.80, 13,440.06 and 5,760.90

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Solution

The fourth proportional to 9,739.80, 13,440.06 and 5,760.90 is: 7,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.80 : 13,440.06 = 5,760.90 : x
  2. Step 2: Convert to fraction form
    9,739.80/13,440.06 = 5,760.90/x
  3. Step 3: Cross multiply
    9,739.80x = 13,440.06 × 5,760.90
  4. Step 4: Simplify right side
    9,739.80x = 77,426,841.65
  5. Step 5: Solve for x
    x = 77,426,841.65/9,739.80
  6. Step 6: Final answer
    x = 7,949.53

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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.