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Finding the Fourth Proportional to 6,211.64, 9,317.42 and 5,900.18

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Solution

The fourth proportional to 6,211.64, 9,317.42 and 5,900.18 is: 8,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.64 : 9,317.42 = 5,900.18 : x
  2. Step 2: Convert to fraction form
    6,211.64/9,317.42 = 5,900.18/x
  3. Step 3: Cross multiply
    6,211.64x = 9,317.42 × 5,900.18
  4. Step 4: Simplify right side
    6,211.64x = 54,974,455.14
  5. Step 5: Solve for x
    x = 54,974,455.14/6,211.64
  6. Step 6: Final answer
    x = 8,850.23

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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.