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Finding the Fourth Proportional to 8,993.86, 13,490.80 and 3,149.10

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Solution

The fourth proportional to 8,993.86, 13,490.80 and 3,149.10 is: 4,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.86 : 13,490.80 = 3,149.10 : x
  2. Step 2: Convert to fraction form
    8,993.86/13,490.80 = 3,149.10/x
  3. Step 3: Cross multiply
    8,993.86x = 13,490.80 × 3,149.10
  4. Step 4: Simplify right side
    8,993.86x = 42,483,878.28
  5. Step 5: Solve for x
    x = 42,483,878.28/8,993.86
  6. Step 6: Final answer
    x = 4,723.65

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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.