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Finding the Fourth Proportional to 6,339.39, 9,506.75 and 2,178.22

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Solution

The fourth proportional to 6,339.39, 9,506.75 and 2,178.22 is: 3,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.39 : 9,506.75 = 2,178.22 : x
  2. Step 2: Convert to fraction form
    6,339.39/9,506.75 = 2,178.22/x
  3. Step 3: Cross multiply
    6,339.39x = 9,506.75 × 2,178.22
  4. Step 4: Simplify right side
    6,339.39x = 20,707,750.90
  5. Step 5: Solve for x
    x = 20,707,750.90/6,339.39
  6. Step 6: Final answer
    x = 3,266.52

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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.