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Finding the Fourth Proportional to 9,178.50, 13,767.75 and 3,022.98

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Solution

The fourth proportional to 9,178.50, 13,767.75 and 3,022.98 is: 4,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.50 : 13,767.75 = 3,022.98 : x
  2. Step 2: Convert to fraction form
    9,178.50/13,767.75 = 3,022.98/x
  3. Step 3: Cross multiply
    9,178.50x = 13,767.75 × 3,022.98
  4. Step 4: Simplify right side
    9,178.50x = 41,619,632.90
  5. Step 5: Solve for x
    x = 41,619,632.90/9,178.50
  6. Step 6: Final answer
    x = 4,534.47

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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.