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Finding the Fourth Proportional to 9,476.92, 14,221.86 and 4,863.16

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Solution

The fourth proportional to 9,476.92, 14,221.86 and 4,863.16 is: 7,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.92 : 14,221.86 = 4,863.16 : x
  2. Step 2: Convert to fraction form
    9,476.92/14,221.86 = 4,863.16/x
  3. Step 3: Cross multiply
    9,476.92x = 14,221.86 × 4,863.16
  4. Step 4: Simplify right side
    9,476.92x = 69,163,180.68
  5. Step 5: Solve for x
    x = 69,163,180.68/9,476.92
  6. Step 6: Final answer
    x = 7,298.07

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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.