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Finding the Fourth Proportional to 6,393.46, 9,577.88 and 3,921.06

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Solution

The fourth proportional to 6,393.46, 9,577.88 and 3,921.06 is: 5,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.46 : 9,577.88 = 3,921.06 : x
  2. Step 2: Convert to fraction form
    6,393.46/9,577.88 = 3,921.06/x
  3. Step 3: Cross multiply
    6,393.46x = 9,577.88 × 3,921.06
  4. Step 4: Simplify right side
    6,393.46x = 37,555,442.15
  5. Step 5: Solve for x
    x = 37,555,442.15/6,393.46
  6. Step 6: Final answer
    x = 5,874.04

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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.