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Finding the Fourth Proportional to 9,642.48, 13,297.32 and 8,226.96

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Solution

The fourth proportional to 9,642.48, 13,297.32 and 8,226.96 is: 11,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.48 : 13,297.32 = 8,226.96 : x
  2. Step 2: Convert to fraction form
    9,642.48/13,297.32 = 8,226.96/x
  3. Step 3: Cross multiply
    9,642.48x = 13,297.32 × 8,226.96
  4. Step 4: Simplify right side
    9,642.48x = 109,396,519.75
  5. Step 5: Solve for x
    x = 109,396,519.75/9,642.48
  6. Step 6: Final answer
    x = 11,345.27

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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.