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Finding the Fourth Proportional to 8,991.85, 12,416.59 and 5,640.43

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Solution

The fourth proportional to 8,991.85, 12,416.59 and 5,640.43 is: 7,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.85 : 12,416.59 = 5,640.43 : x
  2. Step 2: Convert to fraction form
    8,991.85/12,416.59 = 5,640.43/x
  3. Step 3: Cross multiply
    8,991.85x = 12,416.59 × 5,640.43
  4. Step 4: Simplify right side
    8,991.85x = 70,034,871.10
  5. Step 5: Solve for x
    x = 70,034,871.10/8,991.85
  6. Step 6: Final answer
    x = 7,788.70

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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.