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Finding the Fourth Proportional to 9,481.04, 14,221.56 and 3,640.40

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Solution

The fourth proportional to 9,481.04, 14,221.56 and 3,640.40 is: 5,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.04 : 14,221.56 = 3,640.40 : x
  2. Step 2: Convert to fraction form
    9,481.04/14,221.56 = 3,640.40/x
  3. Step 3: Cross multiply
    9,481.04x = 14,221.56 × 3,640.40
  4. Step 4: Simplify right side
    9,481.04x = 51,772,167.02
  5. Step 5: Solve for x
    x = 51,772,167.02/9,481.04
  6. Step 6: Final answer
    x = 5,460.60

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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.