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Finding the Fourth Proportional to 6,082.32, 9,125.64 and 2,134.16

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Solution

The fourth proportional to 6,082.32, 9,125.64 and 2,134.16 is: 3,202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.32 : 9,125.64 = 2,134.16 : x
  2. Step 2: Convert to fraction form
    6,082.32/9,125.64 = 2,134.16/x
  3. Step 3: Cross multiply
    6,082.32x = 9,125.64 × 2,134.16
  4. Step 4: Simplify right side
    6,082.32x = 19,475,575.86
  5. Step 5: Solve for x
    x = 19,475,575.86/6,082.32
  6. Step 6: Final answer
    x = 3,202.00

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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.