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Finding the Fourth Proportional to 6,683.25, 9,212.26 and 5,264.69

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Solution

The fourth proportional to 6,683.25, 9,212.26 and 5,264.69 is: 7,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.25 : 9,212.26 = 5,264.69 : x
  2. Step 2: Convert to fraction form
    6,683.25/9,212.26 = 5,264.69/x
  3. Step 3: Cross multiply
    6,683.25x = 9,212.26 × 5,264.69
  4. Step 4: Simplify right side
    6,683.25x = 48,499,693.10
  5. Step 5: Solve for x
    x = 48,499,693.10/6,683.25
  6. Step 6: Final answer
    x = 7,256.90

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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.