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Finding the Fourth Proportional to 9,478.53, 14,221.49 and 3,930.48

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Solution

The fourth proportional to 9,478.53, 14,221.49 and 3,930.48 is: 5,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.53 : 14,221.49 = 3,930.48 : x
  2. Step 2: Convert to fraction form
    9,478.53/14,221.49 = 3,930.48/x
  3. Step 3: Cross multiply
    9,478.53x = 14,221.49 × 3,930.48
  4. Step 4: Simplify right side
    9,478.53x = 55,897,262.36
  5. Step 5: Solve for x
    x = 55,897,262.36/9,478.53
  6. Step 6: Final answer
    x = 5,897.25

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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.