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Finding the Fourth Proportional to 6,948.60, 9,589.08 and 3,804.78

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Solution

The fourth proportional to 6,948.60, 9,589.08 and 3,804.78 is: 5,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.60 : 9,589.08 = 3,804.78 : x
  2. Step 2: Convert to fraction form
    6,948.60/9,589.08 = 3,804.78/x
  3. Step 3: Cross multiply
    6,948.60x = 9,589.08 × 3,804.78
  4. Step 4: Simplify right side
    6,948.60x = 36,484,339.80
  5. Step 5: Solve for x
    x = 36,484,339.80/6,948.60
  6. Step 6: Final answer
    x = 5,250.60

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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.