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Finding the Fourth Proportional to 6,683.17, 9,223.47 and 3,850.66

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Solution

The fourth proportional to 6,683.17, 9,223.47 and 3,850.66 is: 5,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.17 : 9,223.47 = 3,850.66 : x
  2. Step 2: Convert to fraction form
    6,683.17/9,223.47 = 3,850.66/x
  3. Step 3: Cross multiply
    6,683.17x = 9,223.47 × 3,850.66
  4. Step 4: Simplify right side
    6,683.17x = 35,516,446.99
  5. Step 5: Solve for x
    x = 35,516,446.99/6,683.17
  6. Step 6: Final answer
    x = 5,314.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.