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Finding the Fourth Proportional to 9,321.48, 13,984.62 and 3,478.14

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Solution

The fourth proportional to 9,321.48, 13,984.62 and 3,478.14 is: 5,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.48 : 13,984.62 = 3,478.14 : x
  2. Step 2: Convert to fraction form
    9,321.48/13,984.62 = 3,478.14/x
  3. Step 3: Cross multiply
    9,321.48x = 13,984.62 × 3,478.14
  4. Step 4: Simplify right side
    9,321.48x = 48,640,466.21
  5. Step 5: Solve for x
    x = 48,640,466.21/9,321.48
  6. Step 6: Final answer
    x = 5,218.11

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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.