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Finding the Fourth Proportional to 9,247.30, 12,761.19 and 5,268.40

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Solution

The fourth proportional to 9,247.30, 12,761.19 and 5,268.40 is: 7,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.30 : 12,761.19 = 5,268.40 : x
  2. Step 2: Convert to fraction form
    9,247.30/12,761.19 = 5,268.40/x
  3. Step 3: Cross multiply
    9,247.30x = 12,761.19 × 5,268.40
  4. Step 4: Simplify right side
    9,247.30x = 67,231,053.40
  5. Step 5: Solve for x
    x = 67,231,053.40/9,247.30
  6. Step 6: Final answer
    x = 7,270.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.