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Finding the Fourth Proportional to 9,274.06, 12,797.76 and 5,082.40

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Solution

The fourth proportional to 9,274.06, 12,797.76 and 5,082.40 is: 7,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.06 : 12,797.76 = 5,082.40 : x
  2. Step 2: Convert to fraction form
    9,274.06/12,797.76 = 5,082.40/x
  3. Step 3: Cross multiply
    9,274.06x = 12,797.76 × 5,082.40
  4. Step 4: Simplify right side
    9,274.06x = 65,043,335.42
  5. Step 5: Solve for x
    x = 65,043,335.42/9,274.06
  6. Step 6: Final answer
    x = 7,013.47

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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.