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Finding the Fourth Proportional to 6,534.89, 9,018.13 and 3,550.78

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Solution

The fourth proportional to 6,534.89, 9,018.13 and 3,550.78 is: 4,900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.89 : 9,018.13 = 3,550.78 : x
  2. Step 2: Convert to fraction form
    6,534.89/9,018.13 = 3,550.78/x
  3. Step 3: Cross multiply
    6,534.89x = 9,018.13 × 3,550.78
  4. Step 4: Simplify right side
    6,534.89x = 32,021,395.64
  5. Step 5: Solve for x
    x = 32,021,395.64/6,534.89
  6. Step 6: Final answer
    x = 4,900.07

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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.