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Finding the Fourth Proportional to 9,245.46, 12,758.45 and 5,267.14

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Solution

The fourth proportional to 9,245.46, 12,758.45 and 5,267.14 is: 7,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.46 : 12,758.45 = 5,267.14 : x
  2. Step 2: Convert to fraction form
    9,245.46/12,758.45 = 5,267.14/x
  3. Step 3: Cross multiply
    9,245.46x = 12,758.45 × 5,267.14
  4. Step 4: Simplify right side
    9,245.46x = 67,200,542.33
  5. Step 5: Solve for x
    x = 67,200,542.33/9,245.46
  6. Step 6: Final answer
    x = 7,268.49

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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.