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Finding the Fourth Proportional to 10,614.44, 15,845.26 and 9,845.48

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Solution

The fourth proportional to 10,614.44, 15,845.26 and 9,845.48 is: 14,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.44 : 15,845.26 = 9,845.48 : x
  2. Step 2: Convert to fraction form
    10,614.44/15,845.26 = 9,845.48/x
  3. Step 3: Cross multiply
    10,614.44x = 15,845.26 × 9,845.48
  4. Step 4: Simplify right side
    10,614.44x = 156,004,190.42
  5. Step 5: Solve for x
    x = 156,004,190.42/10,614.44
  6. Step 6: Final answer
    x = 14,697.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.