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Finding the Fourth Proportional to 6,719.22, 9,271.17 and 3,924.18

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Solution

The fourth proportional to 6,719.22, 9,271.17 and 3,924.18 is: 5,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.22 : 9,271.17 = 3,924.18 : x
  2. Step 2: Convert to fraction form
    6,719.22/9,271.17 = 3,924.18/x
  3. Step 3: Cross multiply
    6,719.22x = 9,271.17 × 3,924.18
  4. Step 4: Simplify right side
    6,719.22x = 36,381,739.89
  5. Step 5: Solve for x
    x = 36,381,739.89/6,719.22
  6. Step 6: Final answer
    x = 5,414.58

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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.