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Finding the Fourth Proportional to 9,193.71, 13,778.44 and 3,644.03

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Solution

The fourth proportional to 9,193.71, 13,778.44 and 3,644.03 is: 5,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.71 : 13,778.44 = 3,644.03 : x
  2. Step 2: Convert to fraction form
    9,193.71/13,778.44 = 3,644.03/x
  3. Step 3: Cross multiply
    9,193.71x = 13,778.44 × 3,644.03
  4. Step 4: Simplify right side
    9,193.71x = 50,209,048.71
  5. Step 5: Solve for x
    x = 50,209,048.71/9,193.71
  6. Step 6: Final answer
    x = 5,461.24

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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.