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Finding the Fourth Proportional to 9,245.40, 12,758.36 and 5,267.49

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Solution

The fourth proportional to 9,245.40, 12,758.36 and 5,267.49 is: 7,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.40 : 12,758.36 = 5,267.49 : x
  2. Step 2: Convert to fraction form
    9,245.40/12,758.36 = 5,267.49/x
  3. Step 3: Cross multiply
    9,245.40x = 12,758.36 × 5,267.49
  4. Step 4: Simplify right side
    9,245.40x = 67,204,507.38
  5. Step 5: Solve for x
    x = 67,204,507.38/9,245.40
  6. Step 6: Final answer
    x = 7,268.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.