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Finding the Fourth Proportional to 6,541.62, 9,024.26 and 3,887.15

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Solution

The fourth proportional to 6,541.62, 9,024.26 and 3,887.15 is: 5,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.62 : 9,024.26 = 3,887.15 : x
  2. Step 2: Convert to fraction form
    6,541.62/9,024.26 = 3,887.15/x
  3. Step 3: Cross multiply
    6,541.62x = 9,024.26 × 3,887.15
  4. Step 4: Simplify right side
    6,541.62x = 35,078,616.86
  5. Step 5: Solve for x
    x = 35,078,616.86/6,541.62
  6. Step 6: Final answer
    x = 5,362.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.