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Finding the Fourth Proportional to 6,537.74, 9,019.31 and 3,884.63

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Solution

The fourth proportional to 6,537.74, 9,019.31 and 3,884.63 is: 5,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.74 : 9,019.31 = 3,884.63 : x
  2. Step 2: Convert to fraction form
    6,537.74/9,019.31 = 3,884.63/x
  3. Step 3: Cross multiply
    6,537.74x = 9,019.31 × 3,884.63
  4. Step 4: Simplify right side
    6,537.74x = 35,036,666.08
  5. Step 5: Solve for x
    x = 35,036,666.08/6,537.74
  6. Step 6: Final answer
    x = 5,359.14

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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.