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Finding the Fourth Proportional to 9,250.65, 13,888.26 and 5,105.34

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Solution

The fourth proportional to 9,250.65, 13,888.26 and 5,105.34 is: 7,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.65 : 13,888.26 = 5,105.34 : x
  2. Step 2: Convert to fraction form
    9,250.65/13,888.26 = 5,105.34/x
  3. Step 3: Cross multiply
    9,250.65x = 13,888.26 × 5,105.34
  4. Step 4: Simplify right side
    9,250.65x = 70,904,289.31
  5. Step 5: Solve for x
    x = 70,904,289.31/9,250.65
  6. Step 6: Final answer
    x = 7,664.79

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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.