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Finding the Fourth Proportional to 6,788.18, 9,367.84 and 3,804.62

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Solution

The fourth proportional to 6,788.18, 9,367.84 and 3,804.62 is: 5,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.18 : 9,367.84 = 3,804.62 : x
  2. Step 2: Convert to fraction form
    6,788.18/9,367.84 = 3,804.62/x
  3. Step 3: Cross multiply
    6,788.18x = 9,367.84 × 3,804.62
  4. Step 4: Simplify right side
    6,788.18x = 35,641,071.42
  5. Step 5: Solve for x
    x = 35,641,071.42/6,788.18
  6. Step 6: Final answer
    x = 5,250.46

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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.