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Finding the Fourth Proportional to 9,306.63, 12,843.38 and 5,114.88

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Solution

The fourth proportional to 9,306.63, 12,843.38 and 5,114.88 is: 7,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.63 : 12,843.38 = 5,114.88 : x
  2. Step 2: Convert to fraction form
    9,306.63/12,843.38 = 5,114.88/x
  3. Step 3: Cross multiply
    9,306.63x = 12,843.38 × 5,114.88
  4. Step 4: Simplify right side
    9,306.63x = 65,692,360.28
  5. Step 5: Solve for x
    x = 65,692,360.28/9,306.63
  6. Step 6: Final answer
    x = 7,058.66

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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.