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Finding the Fourth Proportional to 6,406.79, 9,612.86 and 2,894.38

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Solution

The fourth proportional to 6,406.79, 9,612.86 and 2,894.38 is: 4,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.79 : 9,612.86 = 2,894.38 : x
  2. Step 2: Convert to fraction form
    6,406.79/9,612.86 = 2,894.38/x
  3. Step 3: Cross multiply
    6,406.79x = 9,612.86 × 2,894.38
  4. Step 4: Simplify right side
    6,406.79x = 27,823,231.22
  5. Step 5: Solve for x
    x = 27,823,231.22/6,406.79
  6. Step 6: Final answer
    x = 4,342.78

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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.