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Finding the Fourth Proportional to 9,024.16, 13,536.24 and 5,945.44

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Solution

The fourth proportional to 9,024.16, 13,536.24 and 5,945.44 is: 8,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.16 : 13,536.24 = 5,945.44 : x
  2. Step 2: Convert to fraction form
    9,024.16/13,536.24 = 5,945.44/x
  3. Step 3: Cross multiply
    9,024.16x = 13,536.24 × 5,945.44
  4. Step 4: Simplify right side
    9,024.16x = 80,478,902.75
  5. Step 5: Solve for x
    x = 80,478,902.75/9,024.16
  6. Step 6: Final answer
    x = 8,918.16

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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.