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Finding the Fourth Proportional to 6,143.32, 9,219.84 and 2,683

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Solution

The fourth proportional to 6,143.32, 9,219.84 and 2,683 is: 4,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.32 : 9,219.84 = 2,683 : x
  2. Step 2: Convert to fraction form
    6,143.32/9,219.84 = 2,683/x
  3. Step 3: Cross multiply
    6,143.32x = 9,219.84 × 2,683
  4. Step 4: Simplify right side
    6,143.32x = 24,736,830.72
  5. Step 5: Solve for x
    x = 24,736,830.72/6,143.32
  6. Step 6: Final answer
    x = 4,026.62

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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.