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Finding the Fourth Proportional to 9,127.67, 12,596.56 and 5,769.26

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Solution

The fourth proportional to 9,127.67, 12,596.56 and 5,769.26 is: 7,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.67 : 12,596.56 = 5,769.26 : x
  2. Step 2: Convert to fraction form
    9,127.67/12,596.56 = 5,769.26/x
  3. Step 3: Cross multiply
    9,127.67x = 12,596.56 × 5,769.26
  4. Step 4: Simplify right side
    9,127.67x = 72,672,829.75
  5. Step 5: Solve for x
    x = 72,672,829.75/9,127.67
  6. Step 6: Final answer
    x = 7,961.82

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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.