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Finding the Fourth Proportional to 9,115.10, 13,672.65 and 7,235.90

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Solution

The fourth proportional to 9,115.10, 13,672.65 and 7,235.90 is: 10,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.10 : 13,672.65 = 7,235.90 : x
  2. Step 2: Convert to fraction form
    9,115.10/13,672.65 = 7,235.90/x
  3. Step 3: Cross multiply
    9,115.10x = 13,672.65 × 7,235.90
  4. Step 4: Simplify right side
    9,115.10x = 98,933,928.14
  5. Step 5: Solve for x
    x = 98,933,928.14/9,115.10
  6. Step 6: Final answer
    x = 10,853.85

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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.