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Finding the Fourth Proportional to 6,549.43, 9,039.51 and 3,716.86

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Solution

The fourth proportional to 6,549.43, 9,039.51 and 3,716.86 is: 5,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.43 : 9,039.51 = 3,716.86 : x
  2. Step 2: Convert to fraction form
    6,549.43/9,039.51 = 3,716.86/x
  3. Step 3: Cross multiply
    6,549.43x = 9,039.51 × 3,716.86
  4. Step 4: Simplify right side
    6,549.43x = 33,598,593.14
  5. Step 5: Solve for x
    x = 33,598,593.14/6,549.43
  6. Step 6: Final answer
    x = 5,130.00

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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.