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Finding the Fourth Proportional to 6,339.02, 9,506.08 and 2,178.24

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Solution

The fourth proportional to 6,339.02, 9,506.08 and 2,178.24 is: 3,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.02 : 9,506.08 = 2,178.24 : x
  2. Step 2: Convert to fraction form
    6,339.02/9,506.08 = 2,178.24/x
  3. Step 3: Cross multiply
    6,339.02x = 9,506.08 × 2,178.24
  4. Step 4: Simplify right side
    6,339.02x = 20,706,523.70
  5. Step 5: Solve for x
    x = 20,706,523.70/6,339.02
  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.