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Finding the Fourth Proportional to 9,477.81, 14,213.54 and 3,151.23

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Solution

The fourth proportional to 9,477.81, 14,213.54 and 3,151.23 is: 4,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.81 : 14,213.54 = 3,151.23 : x
  2. Step 2: Convert to fraction form
    9,477.81/14,213.54 = 3,151.23/x
  3. Step 3: Cross multiply
    9,477.81x = 14,213.54 × 3,151.23
  4. Step 4: Simplify right side
    9,477.81x = 44,790,046.83
  5. Step 5: Solve for x
    x = 44,790,046.83/9,477.81
  6. Step 6: Final answer
    x = 4,725.78

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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.