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Finding the Fourth Proportional to 6,541.52, 9,028.14 and 3,709.91

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Solution

The fourth proportional to 6,541.52, 9,028.14 and 3,709.91 is: 5,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.52 : 9,028.14 = 3,709.91 : x
  2. Step 2: Convert to fraction form
    6,541.52/9,028.14 = 3,709.91/x
  3. Step 3: Cross multiply
    6,541.52x = 9,028.14 × 3,709.91
  4. Step 4: Simplify right side
    6,541.52x = 33,493,586.87
  5. Step 5: Solve for x
    x = 33,493,586.87/6,541.52
  6. Step 6: Final answer
    x = 5,120.15

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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.