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Finding the Fourth Proportional to 9,085.02, 12,540.38 and 5,733.42

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Solution

The fourth proportional to 9,085.02, 12,540.38 and 5,733.42 is: 7,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.02 : 12,540.38 = 5,733.42 : x
  2. Step 2: Convert to fraction form
    9,085.02/12,540.38 = 5,733.42/x
  3. Step 3: Cross multiply
    9,085.02x = 12,540.38 × 5,733.42
  4. Step 4: Simplify right side
    9,085.02x = 71,899,236.83
  5. Step 5: Solve for x
    x = 71,899,236.83/9,085.02
  6. Step 6: Final answer
    x = 7,914.04

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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.