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Finding the Fourth Proportional to 9,296.47, 13,945 and 3,374.56

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Solution

The fourth proportional to 9,296.47, 13,945 and 3,374.56 is: 5,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.47 : 13,945 = 3,374.56 : x
  2. Step 2: Convert to fraction form
    9,296.47/13,945 = 3,374.56/x
  3. Step 3: Cross multiply
    9,296.47x = 13,945 × 3,374.56
  4. Step 4: Simplify right side
    9,296.47x = 47,058,169.48
  5. Step 5: Solve for x
    x = 47,058,169.48/9,296.47
  6. Step 6: Final answer
    x = 5,061.94

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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.