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Finding the Fourth Proportional to 9,109.90, 12,563.31 and 5,967.82

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Solution

The fourth proportional to 9,109.90, 12,563.31 and 5,967.82 is: 8,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.90 : 12,563.31 = 5,967.82 : x
  2. Step 2: Convert to fraction form
    9,109.90/12,563.31 = 5,967.82/x
  3. Step 3: Cross multiply
    9,109.90x = 12,563.31 × 5,967.82
  4. Step 4: Simplify right side
    9,109.90x = 74,975,572.68
  5. Step 5: Solve for x
    x = 74,975,572.68/9,109.90
  6. Step 6: Final answer
    x = 8,230.12

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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.