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Finding the Fourth Proportional to 6,212.71, 9,317.23 and 2,316.21

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Solution

The fourth proportional to 6,212.71, 9,317.23 and 2,316.21 is: 3,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.71 : 9,317.23 = 2,316.21 : x
  2. Step 2: Convert to fraction form
    6,212.71/9,317.23 = 2,316.21/x
  3. Step 3: Cross multiply
    6,212.71x = 9,317.23 × 2,316.21
  4. Step 4: Simplify right side
    6,212.71x = 21,580,661.30
  5. Step 5: Solve for x
    x = 21,580,661.30/6,212.71
  6. Step 6: Final answer
    x = 3,473.63

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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.