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Finding the Fourth Proportional to 8,987.72, 13,478.94 and 3,143.24

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Solution

The fourth proportional to 8,987.72, 13,478.94 and 3,143.24 is: 4,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,987.72 : 13,478.94 = 3,143.24 : x
  2. Step 2: Convert to fraction form
    8,987.72/13,478.94 = 3,143.24/x
  3. Step 3: Cross multiply
    8,987.72x = 13,478.94 × 3,143.24
  4. Step 4: Simplify right side
    8,987.72x = 42,367,543.37
  5. Step 5: Solve for x
    x = 42,367,543.37/8,987.72
  6. Step 6: Final answer
    x = 4,713.94

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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.