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Finding the Fourth Proportional to 9,278.97, 12,796.29 and 7,396.80

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Solution

The fourth proportional to 9,278.97, 12,796.29 and 7,396.80 is: 10,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.97 : 12,796.29 = 7,396.80 : x
  2. Step 2: Convert to fraction form
    9,278.97/12,796.29 = 7,396.80/x
  3. Step 3: Cross multiply
    9,278.97x = 12,796.29 × 7,396.80
  4. Step 4: Simplify right side
    9,278.97x = 94,651,597.87
  5. Step 5: Solve for x
    x = 94,651,597.87/9,278.97
  6. Step 6: Final answer
    x = 10,200.66

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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.