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Finding the Fourth Proportional to 6,337.63, 8,745.87 and 3,543.13

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Solution

The fourth proportional to 6,337.63, 8,745.87 and 3,543.13 is: 4,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.63 : 8,745.87 = 3,543.13 : x
  2. Step 2: Convert to fraction form
    6,337.63/8,745.87 = 3,543.13/x
  3. Step 3: Cross multiply
    6,337.63x = 8,745.87 × 3,543.13
  4. Step 4: Simplify right side
    6,337.63x = 30,987,754.37
  5. Step 5: Solve for x
    x = 30,987,754.37/6,337.63
  6. Step 6: Final answer
    x = 4,889.49

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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.