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Finding the Fourth Proportional to 9,274.06, 12,797.96 and 5,294.40

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Solution

The fourth proportional to 9,274.06, 12,797.96 and 5,294.40 is: 7,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.06 : 12,797.96 = 5,294.40 : x
  2. Step 2: Convert to fraction form
    9,274.06/12,797.96 = 5,294.40/x
  3. Step 3: Cross multiply
    9,274.06x = 12,797.96 × 5,294.40
  4. Step 4: Simplify right side
    9,274.06x = 67,757,519.42
  5. Step 5: Solve for x
    x = 67,757,519.42/9,274.06
  6. Step 6: Final answer
    x = 7,306.13

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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.