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Finding the Fourth Proportional to 9,273.74, 12,797.86 and 5,082.02

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Solution

The fourth proportional to 9,273.74, 12,797.86 and 5,082.02 is: 7,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.74 : 12,797.86 = 5,082.02 : x
  2. Step 2: Convert to fraction form
    9,273.74/12,797.86 = 5,082.02/x
  3. Step 3: Cross multiply
    9,273.74x = 12,797.86 × 5,082.02
  4. Step 4: Simplify right side
    9,273.74x = 65,038,903.78
  5. Step 5: Solve for x
    x = 65,038,903.78/9,273.74
  6. Step 6: Final answer
    x = 7,013.24

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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.