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Finding the Fourth Proportional to 6,769.67, 10,142.88 and 6,084.89

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Solution

The fourth proportional to 6,769.67, 10,142.88 and 6,084.89 is: 9,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.67 : 10,142.88 = 6,084.89 : x
  2. Step 2: Convert to fraction form
    6,769.67/10,142.88 = 6,084.89/x
  3. Step 3: Cross multiply
    6,769.67x = 10,142.88 × 6,084.89
  4. Step 4: Simplify right side
    6,769.67x = 61,718,258.37
  5. Step 5: Solve for x
    x = 61,718,258.37/6,769.67
  6. Step 6: Final answer
    x = 9,116.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.