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Finding the Fourth Proportional to 9,566.34, 13,175.13 and 8,239.56

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Solution

The fourth proportional to 9,566.34, 13,175.13 and 8,239.56 is: 11,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.34 : 13,175.13 = 8,239.56 : x
  2. Step 2: Convert to fraction form
    9,566.34/13,175.13 = 8,239.56/x
  3. Step 3: Cross multiply
    9,566.34x = 13,175.13 × 8,239.56
  4. Step 4: Simplify right side
    9,566.34x = 108,557,274.14
  5. Step 5: Solve for x
    x = 108,557,274.14/9,566.34
  6. Step 6: Final answer
    x = 11,347.84

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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.