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Finding the Fourth Proportional to 6,288.66, 9,435.42 and 1,906.16

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Solution

The fourth proportional to 6,288.66, 9,435.42 and 1,906.16 is: 2,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.66 : 9,435.42 = 1,906.16 : x
  2. Step 2: Convert to fraction form
    6,288.66/9,435.42 = 1,906.16/x
  3. Step 3: Cross multiply
    6,288.66x = 9,435.42 × 1,906.16
  4. Step 4: Simplify right side
    6,288.66x = 17,985,373.01
  5. Step 5: Solve for x
    x = 17,985,373.01/6,288.66
  6. Step 6: Final answer
    x = 2,859.97

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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.