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Finding the Fourth Proportional to 6,683.14, 9,217.14 and 5,008.48

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Solution

The fourth proportional to 6,683.14, 9,217.14 and 5,008.48 is: 6,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.14 : 9,217.14 = 5,008.48 : x
  2. Step 2: Convert to fraction form
    6,683.14/9,217.14 = 5,008.48/x
  3. Step 3: Cross multiply
    6,683.14x = 9,217.14 × 5,008.48
  4. Step 4: Simplify right side
    6,683.14x = 46,163,861.35
  5. Step 5: Solve for x
    x = 46,163,861.35/6,683.14
  6. Step 6: Final answer
    x = 6,907.51

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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.