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Finding the Fourth Proportional to 9,785.80, 14,680.14 and 6,338.44

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Solution

The fourth proportional to 9,785.80, 14,680.14 and 6,338.44 is: 9,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.80 : 14,680.14 = 6,338.44 : x
  2. Step 2: Convert to fraction form
    9,785.80/14,680.14 = 6,338.44/x
  3. Step 3: Cross multiply
    9,785.80x = 14,680.14 × 6,338.44
  4. Step 4: Simplify right side
    9,785.80x = 93,049,186.58
  5. Step 5: Solve for x
    x = 93,049,186.58/9,785.80
  6. Step 6: Final answer
    x = 9,508.59

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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.