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Finding the Fourth Proportional to 6,419.53, 9,622.12 and 2,724.87

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Solution

The fourth proportional to 6,419.53, 9,622.12 and 2,724.87 is: 4,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.53 : 9,622.12 = 2,724.87 : x
  2. Step 2: Convert to fraction form
    6,419.53/9,622.12 = 2,724.87/x
  3. Step 3: Cross multiply
    6,419.53x = 9,622.12 × 2,724.87
  4. Step 4: Simplify right side
    6,419.53x = 26,218,971.65
  5. Step 5: Solve for x
    x = 26,218,971.65/6,419.53
  6. Step 6: Final answer
    x = 4,084.25

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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.