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Finding the Fourth Proportional to 6,086.37, 9,117.71 and 4,000.08

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Solution

The fourth proportional to 6,086.37, 9,117.71 and 4,000.08 is: 5,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.37 : 9,117.71 = 4,000.08 : x
  2. Step 2: Convert to fraction form
    6,086.37/9,117.71 = 4,000.08/x
  3. Step 3: Cross multiply
    6,086.37x = 9,117.71 × 4,000.08
  4. Step 4: Simplify right side
    6,086.37x = 36,471,549.42
  5. Step 5: Solve for x
    x = 36,471,549.42/6,086.37
  6. Step 6: Final answer
    x = 5,992.33

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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.