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Finding the Fourth Proportional to 6,536.18, 9,020.13 and 3,742.58

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Solution

The fourth proportional to 6,536.18, 9,020.13 and 3,742.58 is: 5,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.18 : 9,020.13 = 3,742.58 : x
  2. Step 2: Convert to fraction form
    6,536.18/9,020.13 = 3,742.58/x
  3. Step 3: Cross multiply
    6,536.18x = 9,020.13 × 3,742.58
  4. Step 4: Simplify right side
    6,536.18x = 33,758,558.14
  5. Step 5: Solve for x
    x = 33,758,558.14/6,536.18
  6. Step 6: Final answer
    x = 5,164.88

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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.