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Finding the Fourth Proportional to 9,608.80, 14,415.09 and 4,062.10

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Solution

The fourth proportional to 9,608.80, 14,415.09 and 4,062.10 is: 6,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.80 : 14,415.09 = 4,062.10 : x
  2. Step 2: Convert to fraction form
    9,608.80/14,415.09 = 4,062.10/x
  3. Step 3: Cross multiply
    9,608.80x = 14,415.09 × 4,062.10
  4. Step 4: Simplify right side
    9,608.80x = 58,555,537.09
  5. Step 5: Solve for x
    x = 58,555,537.09/9,608.80
  6. Step 6: Final answer
    x = 6,093.95

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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.