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Finding the Fourth Proportional to 6,401.44, 9,594 and 2,887.68

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Solution

The fourth proportional to 6,401.44, 9,594 and 2,887.68 is: 4,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.44 : 9,594 = 2,887.68 : x
  2. Step 2: Convert to fraction form
    6,401.44/9,594 = 2,887.68/x
  3. Step 3: Cross multiply
    6,401.44x = 9,594 × 2,887.68
  4. Step 4: Simplify right side
    6,401.44x = 27,704,401.92
  5. Step 5: Solve for x
    x = 27,704,401.92/6,401.44
  6. Step 6: Final answer
    x = 4,327.84

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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.