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Finding the Fourth Proportional to 6,269.64, 9,401.50 and 2,318.16

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Solution

The fourth proportional to 6,269.64, 9,401.50 and 2,318.16 is: 3,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.64 : 9,401.50 = 2,318.16 : x
  2. Step 2: Convert to fraction form
    6,269.64/9,401.50 = 2,318.16/x
  3. Step 3: Cross multiply
    6,269.64x = 9,401.50 × 2,318.16
  4. Step 4: Simplify right side
    6,269.64x = 21,794,181.24
  5. Step 5: Solve for x
    x = 21,794,181.24/6,269.64
  6. Step 6: Final answer
    x = 3,476.15

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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.