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Finding the Fourth Proportional to 9,747.50, 13,451.56 and 5,331.50

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Solution

The fourth proportional to 9,747.50, 13,451.56 and 5,331.50 is: 7,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.50 : 13,451.56 = 5,331.50 : x
  2. Step 2: Convert to fraction form
    9,747.50/13,451.56 = 5,331.50/x
  3. Step 3: Cross multiply
    9,747.50x = 13,451.56 × 5,331.50
  4. Step 4: Simplify right side
    9,747.50x = 71,716,992.14
  5. Step 5: Solve for x
    x = 71,716,992.14/9,747.50
  6. Step 6: Final answer
    x = 7,357.48

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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.