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Finding the Fourth Proportional to 9,545.22, 14,315.22 and 3,997.44

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Solution

The fourth proportional to 9,545.22, 14,315.22 and 3,997.44 is: 5,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.22 : 14,315.22 = 3,997.44 : x
  2. Step 2: Convert to fraction form
    9,545.22/14,315.22 = 3,997.44/x
  3. Step 3: Cross multiply
    9,545.22x = 14,315.22 × 3,997.44
  4. Step 4: Simplify right side
    9,545.22x = 57,224,233.04
  5. Step 5: Solve for x
    x = 57,224,233.04/9,545.22
  6. Step 6: Final answer
    x = 5,995.07

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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.