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Finding the Fourth Proportional to 9,194.18, 12,687.82 and 5,657.30

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Solution

The fourth proportional to 9,194.18, 12,687.82 and 5,657.30 is: 7,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.18 : 12,687.82 = 5,657.30 : x
  2. Step 2: Convert to fraction form
    9,194.18/12,687.82 = 5,657.30/x
  3. Step 3: Cross multiply
    9,194.18x = 12,687.82 × 5,657.30
  4. Step 4: Simplify right side
    9,194.18x = 71,778,804.09
  5. Step 5: Solve for x
    x = 71,778,804.09/9,194.18
  6. Step 6: Final answer
    x = 7,806.98

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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.