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Finding the Fourth Proportional to 9,100.57, 13,654.14 and 3,178.33

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Solution

The fourth proportional to 9,100.57, 13,654.14 and 3,178.33 is: 4,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.57 : 13,654.14 = 3,178.33 : x
  2. Step 2: Convert to fraction form
    9,100.57/13,654.14 = 3,178.33/x
  3. Step 3: Cross multiply
    9,100.57x = 13,654.14 × 3,178.33
  4. Step 4: Simplify right side
    9,100.57x = 43,397,325.67
  5. Step 5: Solve for x
    x = 43,397,325.67/9,100.57
  6. Step 6: Final answer
    x = 4,768.64

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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.