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Finding the Fourth Proportional to 6,697.14, 9,222.56 and 6,269.26

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Solution

The fourth proportional to 6,697.14, 9,222.56 and 6,269.26 is: 8,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.14 : 9,222.56 = 6,269.26 : x
  2. Step 2: Convert to fraction form
    6,697.14/9,222.56 = 6,269.26/x
  3. Step 3: Cross multiply
    6,697.14x = 9,222.56 × 6,269.26
  4. Step 4: Simplify right side
    6,697.14x = 57,818,626.51
  5. Step 5: Solve for x
    x = 57,818,626.51/6,697.14
  6. Step 6: Final answer
    x = 8,633.33

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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.