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Finding the Fourth Proportional to 6,411.20, 9,615.24 and 3,289.59

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Solution

The fourth proportional to 6,411.20, 9,615.24 and 3,289.59 is: 4,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.20 : 9,615.24 = 3,289.59 : x
  2. Step 2: Convert to fraction form
    6,411.20/9,615.24 = 3,289.59/x
  3. Step 3: Cross multiply
    6,411.20x = 9,615.24 × 3,289.59
  4. Step 4: Simplify right side
    6,411.20x = 31,630,197.35
  5. Step 5: Solve for x
    x = 31,630,197.35/6,411.20
  6. Step 6: Final answer
    x = 4,933.59

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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.