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Finding the Fourth Proportional to 6,537.68, 9,022.16 and 3,553.48

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Solution

The fourth proportional to 6,537.68, 9,022.16 and 3,553.48 is: 4,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.68 : 9,022.16 = 3,553.48 : x
  2. Step 2: Convert to fraction form
    6,537.68/9,022.16 = 3,553.48/x
  3. Step 3: Cross multiply
    6,537.68x = 9,022.16 × 3,553.48
  4. Step 4: Simplify right side
    6,537.68x = 32,060,065.12
  5. Step 5: Solve for x
    x = 32,060,065.12/6,537.68
  6. Step 6: Final answer
    x = 4,903.89

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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.