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Finding the Fourth Proportional to 9,138.68, 12,611.31 and 4,946.90

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Solution

The fourth proportional to 9,138.68, 12,611.31 and 4,946.90 is: 6,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.68 : 12,611.31 = 4,946.90 : x
  2. Step 2: Convert to fraction form
    9,138.68/12,611.31 = 4,946.90/x
  3. Step 3: Cross multiply
    9,138.68x = 12,611.31 × 4,946.90
  4. Step 4: Simplify right side
    9,138.68x = 62,386,889.44
  5. Step 5: Solve for x
    x = 62,386,889.44/9,138.68
  6. Step 6: Final answer
    x = 6,826.68

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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.