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Finding the Fourth Proportional to 9,321.25, 13,985.52 and 3,478.31

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Solution

The fourth proportional to 9,321.25, 13,985.52 and 3,478.31 is: 5,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.25 : 13,985.52 = 3,478.31 : x
  2. Step 2: Convert to fraction form
    9,321.25/13,985.52 = 3,478.31/x
  3. Step 3: Cross multiply
    9,321.25x = 13,985.52 × 3,478.31
  4. Step 4: Simplify right side
    9,321.25x = 48,645,995.99
  5. Step 5: Solve for x
    x = 48,645,995.99/9,321.25
  6. Step 6: Final answer
    x = 5,218.83

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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.