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Finding the Fourth Proportional to 9,048.82, 13,571.08 and 5,101.83

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Solution

The fourth proportional to 9,048.82, 13,571.08 and 5,101.83 is: 7,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.82 : 13,571.08 = 5,101.83 : x
  2. Step 2: Convert to fraction form
    9,048.82/13,571.08 = 5,101.83/x
  3. Step 3: Cross multiply
    9,048.82x = 13,571.08 × 5,101.83
  4. Step 4: Simplify right side
    9,048.82x = 69,237,343.08
  5. Step 5: Solve for x
    x = 69,237,343.08/9,048.82
  6. Step 6: Final answer
    x = 7,651.53

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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.