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Finding the Fourth Proportional to 9,073.80, 12,522.24 and 5,296.38

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Solution

The fourth proportional to 9,073.80, 12,522.24 and 5,296.38 is: 7,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.80 : 12,522.24 = 5,296.38 : x
  2. Step 2: Convert to fraction form
    9,073.80/12,522.24 = 5,296.38/x
  3. Step 3: Cross multiply
    9,073.80x = 12,522.24 × 5,296.38
  4. Step 4: Simplify right side
    9,073.80x = 66,322,541.49
  5. Step 5: Solve for x
    x = 66,322,541.49/9,073.80
  6. Step 6: Final answer
    x = 7,309.24

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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.