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Finding the Fourth Proportional to 6,102.32, 9,157.52 and 2,404.08

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Solution

The fourth proportional to 6,102.32, 9,157.52 and 2,404.08 is: 3,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.32 : 9,157.52 = 2,404.08 : x
  2. Step 2: Convert to fraction form
    6,102.32/9,157.52 = 2,404.08/x
  3. Step 3: Cross multiply
    6,102.32x = 9,157.52 × 2,404.08
  4. Step 4: Simplify right side
    6,102.32x = 22,015,410.68
  5. Step 5: Solve for x
    x = 22,015,410.68/6,102.32
  6. Step 6: Final answer
    x = 3,607.71

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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.