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Finding the Fourth Proportional to 8,996.68, 12,421.20 and 5,644.09

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Solution

The fourth proportional to 8,996.68, 12,421.20 and 5,644.09 is: 7,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.68 : 12,421.20 = 5,644.09 : x
  2. Step 2: Convert to fraction form
    8,996.68/12,421.20 = 5,644.09/x
  3. Step 3: Cross multiply
    8,996.68x = 12,421.20 × 5,644.09
  4. Step 4: Simplify right side
    8,996.68x = 70,106,387.65
  5. Step 5: Solve for x
    x = 70,106,387.65/8,996.68
  6. Step 6: Final answer
    x = 7,792.47

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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.