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Finding the Fourth Proportional to 9,100.75, 13,651.52 and 3,178.23

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Solution

The fourth proportional to 9,100.75, 13,651.52 and 3,178.23 is: 4,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.75 : 13,651.52 = 3,178.23 : x
  2. Step 2: Convert to fraction form
    9,100.75/13,651.52 = 3,178.23/x
  3. Step 3: Cross multiply
    9,100.75x = 13,651.52 × 3,178.23
  4. Step 4: Simplify right side
    9,100.75x = 43,387,670.41
  5. Step 5: Solve for x
    x = 43,387,670.41/9,100.75
  6. Step 6: Final answer
    x = 4,767.48

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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.