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Finding the Fourth Proportional to 6,948.66, 9,589.20 and 3,804.84

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Solution

The fourth proportional to 6,948.66, 9,589.20 and 3,804.84 is: 5,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.66 : 9,589.20 = 3,804.84 : x
  2. Step 2: Convert to fraction form
    6,948.66/9,589.20 = 3,804.84/x
  3. Step 3: Cross multiply
    6,948.66x = 9,589.20 × 3,804.84
  4. Step 4: Simplify right side
    6,948.66x = 36,485,393.42
  5. Step 5: Solve for x
    x = 36,485,393.42/6,948.66
  6. Step 6: Final answer
    x = 5,250.71

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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.