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Finding the Fourth Proportional to 6,339.61, 8,745.75 and 4,102.22

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Solution

The fourth proportional to 6,339.61, 8,745.75 and 4,102.22 is: 5,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.61 : 8,745.75 = 4,102.22 : x
  2. Step 2: Convert to fraction form
    6,339.61/8,745.75 = 4,102.22/x
  3. Step 3: Cross multiply
    6,339.61x = 8,745.75 × 4,102.22
  4. Step 4: Simplify right side
    6,339.61x = 35,877,012.43
  5. Step 5: Solve for x
    x = 35,877,012.43/6,339.61
  6. Step 6: Final answer
    x = 5,659.18

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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.