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Finding the Fourth Proportional to 9,274.11, 12,797.25 and 5,294.46

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Solution

The fourth proportional to 9,274.11, 12,797.25 and 5,294.46 is: 7,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.11 : 12,797.25 = 5,294.46 : x
  2. Step 2: Convert to fraction form
    9,274.11/12,797.25 = 5,294.46/x
  3. Step 3: Cross multiply
    9,274.11x = 12,797.25 × 5,294.46
  4. Step 4: Simplify right side
    9,274.11x = 67,754,528.24
  5. Step 5: Solve for x
    x = 67,754,528.24/9,274.11
  6. Step 6: Final answer
    x = 7,305.77

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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.