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Finding the Fourth Proportional to 9,601.10, 13,249.31 and 5,352.14

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Solution

The fourth proportional to 9,601.10, 13,249.31 and 5,352.14 is: 7,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.10 : 13,249.31 = 5,352.14 : x
  2. Step 2: Convert to fraction form
    9,601.10/13,249.31 = 5,352.14/x
  3. Step 3: Cross multiply
    9,601.10x = 13,249.31 × 5,352.14
  4. Step 4: Simplify right side
    9,601.10x = 70,912,162.02
  5. Step 5: Solve for x
    x = 70,912,162.02/9,601.10
  6. Step 6: Final answer
    x = 7,385.84

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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.