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Finding the Fourth Proportional to 6,538.92, 9,024.87 and 3,887.22

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Solution

The fourth proportional to 6,538.92, 9,024.87 and 3,887.22 is: 5,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.92 : 9,024.87 = 3,887.22 : x
  2. Step 2: Convert to fraction form
    6,538.92/9,024.87 = 3,887.22/x
  3. Step 3: Cross multiply
    6,538.92x = 9,024.87 × 3,887.22
  4. Step 4: Simplify right side
    6,538.92x = 35,081,655.16
  5. Step 5: Solve for x
    x = 35,081,655.16/6,538.92
  6. Step 6: Final answer
    x = 5,365.05

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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.