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Finding the Fourth Proportional to 6,536.70, 9,022.71 and 4,178.85

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Solution

The fourth proportional to 6,536.70, 9,022.71 and 4,178.85 is: 5,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.70 : 9,022.71 = 4,178.85 : x
  2. Step 2: Convert to fraction form
    6,536.70/9,022.71 = 4,178.85/x
  3. Step 3: Cross multiply
    6,536.70x = 9,022.71 × 4,178.85
  4. Step 4: Simplify right side
    6,536.70x = 37,704,551.68
  5. Step 5: Solve for x
    x = 37,704,551.68/6,536.70
  6. Step 6: Final answer
    x = 5,768.13

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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.