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Finding the Fourth Proportional to 9,144.27, 13,722.15 and 3,597.47

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Solution

The fourth proportional to 9,144.27, 13,722.15 and 3,597.47 is: 5,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.27 : 13,722.15 = 3,597.47 : x
  2. Step 2: Convert to fraction form
    9,144.27/13,722.15 = 3,597.47/x
  3. Step 3: Cross multiply
    9,144.27x = 13,722.15 × 3,597.47
  4. Step 4: Simplify right side
    9,144.27x = 49,365,022.96
  5. Step 5: Solve for x
    x = 49,365,022.96/9,144.27
  6. Step 6: Final answer
    x = 5,398.47

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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.