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Finding the Fourth Proportional to 9,647.26, 14,471.92 and 3,071.90

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Solution

The fourth proportional to 9,647.26, 14,471.92 and 3,071.90 is: 4,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.26 : 14,471.92 = 3,071.90 : x
  2. Step 2: Convert to fraction form
    9,647.26/14,471.92 = 3,071.90/x
  3. Step 3: Cross multiply
    9,647.26x = 14,471.92 × 3,071.90
  4. Step 4: Simplify right side
    9,647.26x = 44,456,291.05
  5. Step 5: Solve for x
    x = 44,456,291.05/9,647.26
  6. Step 6: Final answer
    x = 4,608.18

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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.