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Finding the Fourth Proportional to 9,235.59, 12,749.31 and 5,883

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Solution

The fourth proportional to 9,235.59, 12,749.31 and 5,883 is: 8,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.59 : 12,749.31 = 5,883 : x
  2. Step 2: Convert to fraction form
    9,235.59/12,749.31 = 5,883/x
  3. Step 3: Cross multiply
    9,235.59x = 12,749.31 × 5,883
  4. Step 4: Simplify right side
    9,235.59x = 75,004,190.73
  5. Step 5: Solve for x
    x = 75,004,190.73/9,235.59
  6. Step 6: Final answer
    x = 8,121.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.