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Finding the Fourth Proportional to 9,296.40, 12,825.50 and 6,111.41

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Solution

The fourth proportional to 9,296.40, 12,825.50 and 6,111.41 is: 8,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.40 : 12,825.50 = 6,111.41 : x
  2. Step 2: Convert to fraction form
    9,296.40/12,825.50 = 6,111.41/x
  3. Step 3: Cross multiply
    9,296.40x = 12,825.50 × 6,111.41
  4. Step 4: Simplify right side
    9,296.40x = 78,381,936.30
  5. Step 5: Solve for x
    x = 78,381,936.30/9,296.40
  6. Step 6: Final answer
    x = 8,431.43

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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.