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Finding the Fourth Proportional to 9,250.67, 12,767.16 and 5,218.32

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Solution

The fourth proportional to 9,250.67, 12,767.16 and 5,218.32 is: 7,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.67 : 12,767.16 = 5,218.32 : x
  2. Step 2: Convert to fraction form
    9,250.67/12,767.16 = 5,218.32/x
  3. Step 3: Cross multiply
    9,250.67x = 12,767.16 × 5,218.32
  4. Step 4: Simplify right side
    9,250.67x = 66,623,126.37
  5. Step 5: Solve for x
    x = 66,623,126.37/9,250.67
  6. Step 6: Final answer
    x = 7,201.98

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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.