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Finding the Fourth Proportional to 7,834.62, 10,788.14 and 6,770.44

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Solution

The fourth proportional to 7,834.62, 10,788.14 and 6,770.44 is: 9,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.62 : 10,788.14 = 6,770.44 : x
  2. Step 2: Convert to fraction form
    7,834.62/10,788.14 = 6,770.44/x
  3. Step 3: Cross multiply
    7,834.62x = 10,788.14 × 6,770.44
  4. Step 4: Simplify right side
    7,834.62x = 73,040,386.23
  5. Step 5: Solve for x
    x = 73,040,386.23/7,834.62
  6. Step 6: Final answer
    x = 9,322.77

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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.