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Finding the Fourth Proportional to 6,534.94, 9,018.29 and 3,550.82

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Solution

The fourth proportional to 6,534.94, 9,018.29 and 3,550.82 is: 4,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.94 : 9,018.29 = 3,550.82 : x
  2. Step 2: Convert to fraction form
    6,534.94/9,018.29 = 3,550.82/x
  3. Step 3: Cross multiply
    6,534.94x = 9,018.29 × 3,550.82
  4. Step 4: Simplify right side
    6,534.94x = 32,022,324.50
  5. Step 5: Solve for x
    x = 32,022,324.50/6,534.94
  6. Step 6: Final answer
    x = 4,900.17

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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.