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Finding the Fourth Proportional to 9,069.31, 12,514.44 and 5,090.38

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Solution

The fourth proportional to 9,069.31, 12,514.44 and 5,090.38 is: 7,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.31 : 12,514.44 = 5,090.38 : x
  2. Step 2: Convert to fraction form
    9,069.31/12,514.44 = 5,090.38/x
  3. Step 3: Cross multiply
    9,069.31x = 12,514.44 × 5,090.38
  4. Step 4: Simplify right side
    9,069.31x = 63,703,255.09
  5. Step 5: Solve for x
    x = 63,703,255.09/9,069.31
  6. Step 6: Final answer
    x = 7,024.05

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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.