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Finding the Fourth Proportional to 6,339.48, 9,506.85 and 2,178.32

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Solution

The fourth proportional to 6,339.48, 9,506.85 and 2,178.32 is: 3,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.48 : 9,506.85 = 2,178.32 : x
  2. Step 2: Convert to fraction form
    6,339.48/9,506.85 = 2,178.32/x
  3. Step 3: Cross multiply
    6,339.48x = 9,506.85 × 2,178.32
  4. Step 4: Simplify right side
    6,339.48x = 20,708,913.96
  5. Step 5: Solve for x
    x = 20,708,913.96/6,339.48
  6. Step 6: Final answer
    x = 3,266.66

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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.