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Finding the Fourth Proportional to 6,113.22, 8,439.82 and 4,433

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Solution

The fourth proportional to 6,113.22, 8,439.82 and 4,433 is: 6,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.22 : 8,439.82 = 4,433 : x
  2. Step 2: Convert to fraction form
    6,113.22/8,439.82 = 4,433/x
  3. Step 3: Cross multiply
    6,113.22x = 8,439.82 × 4,433
  4. Step 4: Simplify right side
    6,113.22x = 37,413,722.06
  5. Step 5: Solve for x
    x = 37,413,722.06/6,113.22
  6. Step 6: Final answer
    x = 6,120.13

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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.