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Finding the Fourth Proportional to 9,020.93, 13,564.31 and 8,299.22

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Solution

The fourth proportional to 9,020.93, 13,564.31 and 8,299.22 is: 12,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.93 : 13,564.31 = 8,299.22 : x
  2. Step 2: Convert to fraction form
    9,020.93/13,564.31 = 8,299.22/x
  3. Step 3: Cross multiply
    9,020.93x = 13,564.31 × 8,299.22
  4. Step 4: Simplify right side
    9,020.93x = 112,573,185.25
  5. Step 5: Solve for x
    x = 112,573,185.25/9,020.93
  6. Step 6: Final answer
    x = 12,479.11

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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.