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Finding the Fourth Proportional to 6,536.78, 9,020.62 and 3,626.25

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Solution

The fourth proportional to 6,536.78, 9,020.62 and 3,626.25 is: 5,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.78 : 9,020.62 = 3,626.25 : x
  2. Step 2: Convert to fraction form
    6,536.78/9,020.62 = 3,626.25/x
  3. Step 3: Cross multiply
    6,536.78x = 9,020.62 × 3,626.25
  4. Step 4: Simplify right side
    6,536.78x = 32,710,960.04
  5. Step 5: Solve for x
    x = 32,710,960.04/6,536.78
  6. Step 6: Final answer
    x = 5,004.14

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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.