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Finding the Fourth Proportional to 9,407.88, 14,112.12 and 3,486.25

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Solution

The fourth proportional to 9,407.88, 14,112.12 and 3,486.25 is: 5,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.88 : 14,112.12 = 3,486.25 : x
  2. Step 2: Convert to fraction form
    9,407.88/14,112.12 = 3,486.25/x
  3. Step 3: Cross multiply
    9,407.88x = 14,112.12 × 3,486.25
  4. Step 4: Simplify right side
    9,407.88x = 49,198,378.35
  5. Step 5: Solve for x
    x = 49,198,378.35/9,407.88
  6. Step 6: Final answer
    x = 5,229.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.