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Finding the Fourth Proportional to 9,628.98, 13,287.90 and 5,380.78

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Solution

The fourth proportional to 9,628.98, 13,287.90 and 5,380.78 is: 7,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.98 : 13,287.90 = 5,380.78 : x
  2. Step 2: Convert to fraction form
    9,628.98/13,287.90 = 5,380.78/x
  3. Step 3: Cross multiply
    9,628.98x = 13,287.90 × 5,380.78
  4. Step 4: Simplify right side
    9,628.98x = 71,499,233.65
  5. Step 5: Solve for x
    x = 71,499,233.65/9,628.98
  6. Step 6: Final answer
    x = 7,425.42

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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.