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Finding the Fourth Proportional to 8,993.84, 13,494.92 and 4,614.35

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Solution

The fourth proportional to 8,993.84, 13,494.92 and 4,614.35 is: 6,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.84 : 13,494.92 = 4,614.35 : x
  2. Step 2: Convert to fraction form
    8,993.84/13,494.92 = 4,614.35/x
  3. Step 3: Cross multiply
    8,993.84x = 13,494.92 × 4,614.35
  4. Step 4: Simplify right side
    8,993.84x = 62,270,193.56
  5. Step 5: Solve for x
    x = 62,270,193.56/8,993.84
  6. Step 6: Final answer
    x = 6,923.65

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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.