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Finding the Fourth Proportional to 6,328.45, 9,493.62 and 3,405.16

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Solution

The fourth proportional to 6,328.45, 9,493.62 and 3,405.16 is: 5,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.45 : 9,493.62 = 3,405.16 : x
  2. Step 2: Convert to fraction form
    6,328.45/9,493.62 = 3,405.16/x
  3. Step 3: Cross multiply
    6,328.45x = 9,493.62 × 3,405.16
  4. Step 4: Simplify right side
    6,328.45x = 32,327,295.08
  5. Step 5: Solve for x
    x = 32,327,295.08/6,328.45
  6. Step 6: Final answer
    x = 5,108.25

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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.