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Finding the Fourth Proportional to 9,448.65, 13,040.10 and 5,469.66

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Solution

The fourth proportional to 9,448.65, 13,040.10 and 5,469.66 is: 7,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.65 : 13,040.10 = 5,469.66 : x
  2. Step 2: Convert to fraction form
    9,448.65/13,040.10 = 5,469.66/x
  3. Step 3: Cross multiply
    9,448.65x = 13,040.10 × 5,469.66
  4. Step 4: Simplify right side
    9,448.65x = 71,324,913.37
  5. Step 5: Solve for x
    x = 71,324,913.37/9,448.65
  6. Step 6: Final answer
    x = 7,548.69

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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.