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Finding the Fourth Proportional to 9,022.47, 13,518.23 and 8,109.42

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Solution

The fourth proportional to 9,022.47, 13,518.23 and 8,109.42 is: 12,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.47 : 13,518.23 = 8,109.42 : x
  2. Step 2: Convert to fraction form
    9,022.47/13,518.23 = 8,109.42/x
  3. Step 3: Cross multiply
    9,022.47x = 13,518.23 × 8,109.42
  4. Step 4: Simplify right side
    9,022.47x = 109,624,964.18
  5. Step 5: Solve for x
    x = 109,624,964.18/9,022.47
  6. Step 6: Final answer
    x = 12,150.22

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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.