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Finding the Fourth Proportional to 9,610.12, 14,351.09 and 9,118.09

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Solution

The fourth proportional to 9,610.12, 14,351.09 and 9,118.09 is: 13,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.12 : 14,351.09 = 9,118.09 : x
  2. Step 2: Convert to fraction form
    9,610.12/14,351.09 = 9,118.09/x
  3. Step 3: Cross multiply
    9,610.12x = 14,351.09 × 9,118.09
  4. Step 4: Simplify right side
    9,610.12x = 130,854,530.22
  5. Step 5: Solve for x
    x = 130,854,530.22/9,610.12
  6. Step 6: Final answer
    x = 13,616.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.