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Finding the Fourth Proportional to 6,404.43, 9,604.06 and 2,894.30

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Solution

The fourth proportional to 6,404.43, 9,604.06 and 2,894.30 is: 4,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.43 : 9,604.06 = 2,894.30 : x
  2. Step 2: Convert to fraction form
    6,404.43/9,604.06 = 2,894.30/x
  3. Step 3: Cross multiply
    6,404.43x = 9,604.06 × 2,894.30
  4. Step 4: Simplify right side
    6,404.43x = 27,797,030.86
  5. Step 5: Solve for x
    x = 27,797,030.86/6,404.43
  6. Step 6: Final answer
    x = 4,340.28

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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.