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Finding the Fourth Proportional to 6,209.46, 9,317.84 and 2,314.17

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Solution

The fourth proportional to 6,209.46, 9,317.84 and 2,314.17 is: 3,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.46 : 9,317.84 = 2,314.17 : x
  2. Step 2: Convert to fraction form
    6,209.46/9,317.84 = 2,314.17/x
  3. Step 3: Cross multiply
    6,209.46x = 9,317.84 × 2,314.17
  4. Step 4: Simplify right side
    6,209.46x = 21,563,054.22
  5. Step 5: Solve for x
    x = 21,563,054.22/6,209.46
  6. Step 6: Final answer
    x = 3,472.61

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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.