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Finding the Fourth Proportional to 9,743.22, 14,592.42 and 5,839.02

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Solution

The fourth proportional to 9,743.22, 14,592.42 and 5,839.02 is: 8,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.22 : 14,592.42 = 5,839.02 : x
  2. Step 2: Convert to fraction form
    9,743.22/14,592.42 = 5,839.02/x
  3. Step 3: Cross multiply
    9,743.22x = 14,592.42 × 5,839.02
  4. Step 4: Simplify right side
    9,743.22x = 85,205,432.23
  5. Step 5: Solve for x
    x = 85,205,432.23/9,743.22
  6. Step 6: Final answer
    x = 8,745.10

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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.