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Finding the Fourth Proportional to 6,668.52, 9,135.74 and 6,419.24

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Solution

The fourth proportional to 6,668.52, 9,135.74 and 6,419.24 is: 8,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.52 : 9,135.74 = 6,419.24 : x
  2. Step 2: Convert to fraction form
    6,668.52/9,135.74 = 6,419.24/x
  3. Step 3: Cross multiply
    6,668.52x = 9,135.74 × 6,419.24
  4. Step 4: Simplify right side
    6,668.52x = 58,644,507.64
  5. Step 5: Solve for x
    x = 58,644,507.64/6,668.52
  6. Step 6: Final answer
    x = 8,794.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.