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Finding the Fourth Proportional to 10,239.15, 14,132.06 and 6,649.09

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Solution

The fourth proportional to 10,239.15, 14,132.06 and 6,649.09 is: 9,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.15 : 14,132.06 = 6,649.09 : x
  2. Step 2: Convert to fraction form
    10,239.15/14,132.06 = 6,649.09/x
  3. Step 3: Cross multiply
    10,239.15x = 14,132.06 × 6,649.09
  4. Step 4: Simplify right side
    10,239.15x = 93,965,338.83
  5. Step 5: Solve for x
    x = 93,965,338.83/10,239.15
  6. Step 6: Final answer
    x = 9,177.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.