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Finding the Fourth Proportional to 6,537.18, 9,021.15 and 3,742.86

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Solution

The fourth proportional to 6,537.18, 9,021.15 and 3,742.86 is: 5,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.18 : 9,021.15 = 3,742.86 : x
  2. Step 2: Convert to fraction form
    6,537.18/9,021.15 = 3,742.86/x
  3. Step 3: Cross multiply
    6,537.18x = 9,021.15 × 3,742.86
  4. Step 4: Simplify right side
    6,537.18x = 33,764,901.49
  5. Step 5: Solve for x
    x = 33,764,901.49/6,537.18
  6. Step 6: Final answer
    x = 5,165.06

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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.