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Finding the Fourth Proportional to 9,484.92, 14,229.05 and 3,243.47

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Solution

The fourth proportional to 9,484.92, 14,229.05 and 3,243.47 is: 4,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.92 : 14,229.05 = 3,243.47 : x
  2. Step 2: Convert to fraction form
    9,484.92/14,229.05 = 3,243.47/x
  3. Step 3: Cross multiply
    9,484.92x = 14,229.05 × 3,243.47
  4. Step 4: Simplify right side
    9,484.92x = 46,151,409.44
  5. Step 5: Solve for x
    x = 46,151,409.44/9,484.92
  6. Step 6: Final answer
    x = 4,865.77

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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.