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Finding the Fourth Proportional to 9,536.82, 13,160.61 and 5,344.98

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Solution

The fourth proportional to 9,536.82, 13,160.61 and 5,344.98 is: 7,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.82 : 13,160.61 = 5,344.98 : x
  2. Step 2: Convert to fraction form
    9,536.82/13,160.61 = 5,344.98/x
  3. Step 3: Cross multiply
    9,536.82x = 13,160.61 × 5,344.98
  4. Step 4: Simplify right side
    9,536.82x = 70,343,197.24
  5. Step 5: Solve for x
    x = 70,343,197.24/9,536.82
  6. Step 6: Final answer
    x = 7,375.96

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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.