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Finding the Fourth Proportional to 9,885.39, 13,633.96 and 8,398.23

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Solution

The fourth proportional to 9,885.39, 13,633.96 and 8,398.23 is: 11,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.39 : 13,633.96 = 8,398.23 : x
  2. Step 2: Convert to fraction form
    9,885.39/13,633.96 = 8,398.23/x
  3. Step 3: Cross multiply
    9,885.39x = 13,633.96 × 8,398.23
  4. Step 4: Simplify right side
    9,885.39x = 114,501,131.89
  5. Step 5: Solve for x
    x = 114,501,131.89/9,885.39
  6. Step 6: Final answer
    x = 11,582.86

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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.