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Finding the Fourth Proportional to 6,102.37, 9,145.55 and 3,471.08

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Solution

The fourth proportional to 6,102.37, 9,145.55 and 3,471.08 is: 5,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.37 : 9,145.55 = 3,471.08 : x
  2. Step 2: Convert to fraction form
    6,102.37/9,145.55 = 3,471.08/x
  3. Step 3: Cross multiply
    6,102.37x = 9,145.55 × 3,471.08
  4. Step 4: Simplify right side
    6,102.37x = 31,744,918.34
  5. Step 5: Solve for x
    x = 31,744,918.34/6,102.37
  6. Step 6: Final answer
    x = 5,202.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.