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Finding the Fourth Proportional to 8,967.20, 13,457.81 and 6,213.20

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Solution

The fourth proportional to 8,967.20, 13,457.81 and 6,213.20 is: 9,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.20 : 13,457.81 = 6,213.20 : x
  2. Step 2: Convert to fraction form
    8,967.20/13,457.81 = 6,213.20/x
  3. Step 3: Cross multiply
    8,967.20x = 13,457.81 × 6,213.20
  4. Step 4: Simplify right side
    8,967.20x = 83,616,013.34
  5. Step 5: Solve for x
    x = 83,616,013.34/8,967.20
  6. Step 6: Final answer
    x = 9,324.66

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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.