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Finding the Fourth Proportional to 9,138.61, 13,713.36 and 3,295.63

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Solution

The fourth proportional to 9,138.61, 13,713.36 and 3,295.63 is: 4,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.61 : 13,713.36 = 3,295.63 : x
  2. Step 2: Convert to fraction form
    9,138.61/13,713.36 = 3,295.63/x
  3. Step 3: Cross multiply
    9,138.61x = 13,713.36 × 3,295.63
  4. Step 4: Simplify right side
    9,138.61x = 45,194,160.62
  5. Step 5: Solve for x
    x = 45,194,160.62/9,138.61
  6. Step 6: Final answer
    x = 4,945.41

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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.