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Finding the Fourth Proportional to 9,309.72, 12,847.50 and 5,118.24

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Solution

The fourth proportional to 9,309.72, 12,847.50 and 5,118.24 is: 7,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.72 : 12,847.50 = 5,118.24 : x
  2. Step 2: Convert to fraction form
    9,309.72/12,847.50 = 5,118.24/x
  3. Step 3: Cross multiply
    9,309.72x = 12,847.50 × 5,118.24
  4. Step 4: Simplify right side
    9,309.72x = 65,756,588.40
  5. Step 5: Solve for x
    x = 65,756,588.40/9,309.72
  6. Step 6: Final answer
    x = 7,063.22

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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.