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Finding the Fourth Proportional to 6,652.80, 9,178.92 and 4,000.32

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Solution

The fourth proportional to 6,652.80, 9,178.92 and 4,000.32 is: 5,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.80 : 9,178.92 = 4,000.32 : x
  2. Step 2: Convert to fraction form
    6,652.80/9,178.92 = 4,000.32/x
  3. Step 3: Cross multiply
    6,652.80x = 9,178.92 × 4,000.32
  4. Step 4: Simplify right side
    6,652.80x = 36,718,617.25
  5. Step 5: Solve for x
    x = 36,718,617.25/6,652.80
  6. Step 6: Final answer
    x = 5,519.27

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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.