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Finding the Fourth Proportional to 9,749.31, 13,455.09 and 5,974.98

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Solution

The fourth proportional to 9,749.31, 13,455.09 and 5,974.98 is: 8,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.31 : 13,455.09 = 5,974.98 : x
  2. Step 2: Convert to fraction form
    9,749.31/13,455.09 = 5,974.98/x
  3. Step 3: Cross multiply
    9,749.31x = 13,455.09 × 5,974.98
  4. Step 4: Simplify right side
    9,749.31x = 80,393,893.65
  5. Step 5: Solve for x
    x = 80,393,893.65/9,749.31
  6. Step 6: Final answer
    x = 8,246.11

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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.