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Finding the Fourth Proportional to 9,536.51, 13,160.40 and 5,344.76

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Solution

The fourth proportional to 9,536.51, 13,160.40 and 5,344.76 is: 7,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.51 : 13,160.40 = 5,344.76 : x
  2. Step 2: Convert to fraction form
    9,536.51/13,160.40 = 5,344.76/x
  3. Step 3: Cross multiply
    9,536.51x = 13,160.40 × 5,344.76
  4. Step 4: Simplify right side
    9,536.51x = 70,339,179.50
  5. Step 5: Solve for x
    x = 70,339,179.50/9,536.51
  6. Step 6: Final answer
    x = 7,375.78

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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.