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Finding the Fourth Proportional to 6,378.42, 9,568.23 and 2,483.13

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Solution

The fourth proportional to 6,378.42, 9,568.23 and 2,483.13 is: 3,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.42 : 9,568.23 = 2,483.13 : x
  2. Step 2: Convert to fraction form
    6,378.42/9,568.23 = 2,483.13/x
  3. Step 3: Cross multiply
    6,378.42x = 9,568.23 × 2,483.13
  4. Step 4: Simplify right side
    6,378.42x = 23,759,158.96
  5. Step 5: Solve for x
    x = 23,759,158.96/6,378.42
  6. Step 6: Final answer
    x = 3,724.93

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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.