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Finding the Fourth Proportional to 9,221.81, 12,722.33 and 6,428.93

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Solution

The fourth proportional to 9,221.81, 12,722.33 and 6,428.93 is: 8,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.81 : 12,722.33 = 6,428.93 : x
  2. Step 2: Convert to fraction form
    9,221.81/12,722.33 = 6,428.93/x
  3. Step 3: Cross multiply
    9,221.81x = 12,722.33 × 6,428.93
  4. Step 4: Simplify right side
    9,221.81x = 81,790,921.47
  5. Step 5: Solve for x
    x = 81,790,921.47/9,221.81
  6. Step 6: Final answer
    x = 8,869.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.