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Finding the Fourth Proportional to 6,409.12, 9,590.64 and 4,082.08

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Solution

The fourth proportional to 6,409.12, 9,590.64 and 4,082.08 is: 6,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.12 : 9,590.64 = 4,082.08 : x
  2. Step 2: Convert to fraction form
    6,409.12/9,590.64 = 4,082.08/x
  3. Step 3: Cross multiply
    6,409.12x = 9,590.64 × 4,082.08
  4. Step 4: Simplify right side
    6,409.12x = 39,149,759.73
  5. Step 5: Solve for x
    x = 39,149,759.73/6,409.12
  6. Step 6: Final answer
    x = 6,108.45

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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.