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Finding the Fourth Proportional to 6,533.70, 9,018.57 and 4,175.85

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Solution

The fourth proportional to 6,533.70, 9,018.57 and 4,175.85 is: 5,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.70 : 9,018.57 = 4,175.85 : x
  2. Step 2: Convert to fraction form
    6,533.70/9,018.57 = 4,175.85/x
  3. Step 3: Cross multiply
    6,533.70x = 9,018.57 × 4,175.85
  4. Step 4: Simplify right side
    6,533.70x = 37,660,195.53
  5. Step 5: Solve for x
    x = 37,660,195.53/6,533.70
  6. Step 6: Final answer
    x = 5,763.99

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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.