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Finding the Fourth Proportional to 9,200.72, 13,791.48 and 4,266.30

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Solution

The fourth proportional to 9,200.72, 13,791.48 and 4,266.30 is: 6,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.72 : 13,791.48 = 4,266.30 : x
  2. Step 2: Convert to fraction form
    9,200.72/13,791.48 = 4,266.30/x
  3. Step 3: Cross multiply
    9,200.72x = 13,791.48 × 4,266.30
  4. Step 4: Simplify right side
    9,200.72x = 58,838,591.12
  5. Step 5: Solve for x
    x = 58,838,591.12/9,200.72
  6. Step 6: Final answer
    x = 6,395.00

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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.