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Finding the Fourth Proportional to 12,877.04, 17,770.44 and 7,134.80

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Solution

The fourth proportional to 12,877.04, 17,770.44 and 7,134.80 is: 9,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.04 : 17,770.44 = 7,134.80 : x
  2. Step 2: Convert to fraction form
    12,877.04/17,770.44 = 7,134.80/x
  3. Step 3: Cross multiply
    12,877.04x = 17,770.44 × 7,134.80
  4. Step 4: Simplify right side
    12,877.04x = 126,788,535.31
  5. Step 5: Solve for x
    x = 126,788,535.31/12,877.04
  6. Step 6: Final answer
    x = 9,846.09

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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.