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Finding the Fourth Proportional to 9,111.90, 12,566.07 and 5,969.82

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Solution

The fourth proportional to 9,111.90, 12,566.07 and 5,969.82 is: 8,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.90 : 12,566.07 = 5,969.82 : x
  2. Step 2: Convert to fraction form
    9,111.90/12,566.07 = 5,969.82/x
  3. Step 3: Cross multiply
    9,111.90x = 12,566.07 × 5,969.82
  4. Step 4: Simplify right side
    9,111.90x = 75,017,176.01
  5. Step 5: Solve for x
    x = 75,017,176.01/9,111.90
  6. Step 6: Final answer
    x = 8,232.88

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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.