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Finding the Fourth Proportional to 9,245.97, 12,758.78 and 5,266.35

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Solution

The fourth proportional to 9,245.97, 12,758.78 and 5,266.35 is: 7,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.97 : 12,758.78 = 5,266.35 : x
  2. Step 2: Convert to fraction form
    9,245.97/12,758.78 = 5,266.35/x
  3. Step 3: Cross multiply
    9,245.97x = 12,758.78 × 5,266.35
  4. Step 4: Simplify right side
    9,245.97x = 67,192,214.22
  5. Step 5: Solve for x
    x = 67,192,214.22/9,245.97
  6. Step 6: Final answer
    x = 7,267.19

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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.