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Finding the Fourth Proportional to 6,930.32, 9,564.20 and 3,786.52

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Solution

The fourth proportional to 6,930.32, 9,564.20 and 3,786.52 is: 5,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.32 : 9,564.20 = 3,786.52 : x
  2. Step 2: Convert to fraction form
    6,930.32/9,564.20 = 3,786.52/x
  3. Step 3: Cross multiply
    6,930.32x = 9,564.20 × 3,786.52
  4. Step 4: Simplify right side
    6,930.32x = 36,215,034.58
  5. Step 5: Solve for x
    x = 36,215,034.58/6,930.32
  6. Step 6: Final answer
    x = 5,225.59

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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.