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Finding the Fourth Proportional to 8,943.20, 13,389.20 and 8,021.60

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Solution

The fourth proportional to 8,943.20, 13,389.20 and 8,021.60 is: 12,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.20 : 13,389.20 = 8,021.60 : x
  2. Step 2: Convert to fraction form
    8,943.20/13,389.20 = 8,021.60/x
  3. Step 3: Cross multiply
    8,943.20x = 13,389.20 × 8,021.60
  4. Step 4: Simplify right side
    8,943.20x = 107,402,806.72
  5. Step 5: Solve for x
    x = 107,402,806.72/8,943.20
  6. Step 6: Final answer
    x = 12,009.44

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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.