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Finding the Fourth Proportional to 9,150.78, 13,790.63 and 8,274.28

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Solution

The fourth proportional to 9,150.78, 13,790.63 and 8,274.28 is: 12,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.78 : 13,790.63 = 8,274.28 : x
  2. Step 2: Convert to fraction form
    9,150.78/13,790.63 = 8,274.28/x
  3. Step 3: Cross multiply
    9,150.78x = 13,790.63 × 8,274.28
  4. Step 4: Simplify right side
    9,150.78x = 114,107,534.00
  5. Step 5: Solve for x
    x = 114,107,534.00/9,150.78
  6. Step 6: Final answer
    x = 12,469.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.