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Finding the Fourth Proportional to 9,122.63, 13,666.22 and 5,993.12

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Solution

The fourth proportional to 9,122.63, 13,666.22 and 5,993.12 is: 8,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.63 : 13,666.22 = 5,993.12 : x
  2. Step 2: Convert to fraction form
    9,122.63/13,666.22 = 5,993.12/x
  3. Step 3: Cross multiply
    9,122.63x = 13,666.22 × 5,993.12
  4. Step 4: Simplify right side
    9,122.63x = 81,903,323.08
  5. Step 5: Solve for x
    x = 81,903,323.08/9,122.63
  6. Step 6: Final answer
    x = 8,978.04

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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.