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Finding the Fourth Proportional to 6,334.58, 9,493.61 and 3,409.45

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Solution

The fourth proportional to 6,334.58, 9,493.61 and 3,409.45 is: 5,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.58 : 9,493.61 = 3,409.45 : x
  2. Step 2: Convert to fraction form
    6,334.58/9,493.61 = 3,409.45/x
  3. Step 3: Cross multiply
    6,334.58x = 9,493.61 × 3,409.45
  4. Step 4: Simplify right side
    6,334.58x = 32,367,988.61
  5. Step 5: Solve for x
    x = 32,367,988.61/6,334.58
  6. Step 6: Final answer
    x = 5,109.73

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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.