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Finding the Fourth Proportional to 6,005.70, 8,987.90 and 4,144.32

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Solution

The fourth proportional to 6,005.70, 8,987.90 and 4,144.32 is: 6,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.70 : 8,987.90 = 4,144.32 : x
  2. Step 2: Convert to fraction form
    6,005.70/8,987.90 = 4,144.32/x
  3. Step 3: Cross multiply
    6,005.70x = 8,987.90 × 4,144.32
  4. Step 4: Simplify right side
    6,005.70x = 37,248,713.01
  5. Step 5: Solve for x
    x = 37,248,713.01/6,005.70
  6. Step 6: Final answer
    x = 6,202.23

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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.