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Finding the Fourth Proportional to 6,533.00, 9,012.56 and 3,878.90

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Solution

The fourth proportional to 6,533.00, 9,012.56 and 3,878.90 is: 5,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.00 : 9,012.56 = 3,878.90 : x
  2. Step 2: Convert to fraction form
    6,533.00/9,012.56 = 3,878.90/x
  3. Step 3: Cross multiply
    6,533.00x = 9,012.56 × 3,878.90
  4. Step 4: Simplify right side
    6,533.00x = 34,958,754.53
  5. Step 5: Solve for x
    x = 34,958,754.53/6,533.00
  6. Step 6: Final answer
    x = 5,351.11

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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.