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Finding the Fourth Proportional to 6,433.44, 8,878.14 and 3,638.94

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Solution

The fourth proportional to 6,433.44, 8,878.14 and 3,638.94 is: 5,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.44 : 8,878.14 = 3,638.94 : x
  2. Step 2: Convert to fraction form
    6,433.44/8,878.14 = 3,638.94/x
  3. Step 3: Cross multiply
    6,433.44x = 8,878.14 × 3,638.94
  4. Step 4: Simplify right side
    6,433.44x = 32,307,018.77
  5. Step 5: Solve for x
    x = 32,307,018.77/6,433.44
  6. Step 6: Final answer
    x = 5,021.73

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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.