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Finding the Fourth Proportional to 9,662.24, 13,326.72 and 6,301.28

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Solution

The fourth proportional to 9,662.24, 13,326.72 and 6,301.28 is: 8,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.24 : 13,326.72 = 6,301.28 : x
  2. Step 2: Convert to fraction form
    9,662.24/13,326.72 = 6,301.28/x
  3. Step 3: Cross multiply
    9,662.24x = 13,326.72 × 6,301.28
  4. Step 4: Simplify right side
    9,662.24x = 83,975,394.20
  5. Step 5: Solve for x
    x = 83,975,394.20/9,662.24
  6. Step 6: Final answer
    x = 8,691.09

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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.