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Finding the Fourth Proportional to 9,178.08, 13,767.12 and 3,022.08

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Solution

The fourth proportional to 9,178.08, 13,767.12 and 3,022.08 is: 4,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.08 : 13,767.12 = 3,022.08 : x
  2. Step 2: Convert to fraction form
    9,178.08/13,767.12 = 3,022.08/x
  3. Step 3: Cross multiply
    9,178.08x = 13,767.12 × 3,022.08
  4. Step 4: Simplify right side
    9,178.08x = 41,605,338.01
  5. Step 5: Solve for x
    x = 41,605,338.01/9,178.08
  6. Step 6: Final answer
    x = 4,533.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.