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Finding the Fourth Proportional to 9,138.41, 12,611.00 and 4,946.66

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Solution

The fourth proportional to 9,138.41, 12,611.00 and 4,946.66 is: 6,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.41 : 12,611.00 = 4,946.66 : x
  2. Step 2: Convert to fraction form
    9,138.41/12,611.00 = 4,946.66/x
  3. Step 3: Cross multiply
    9,138.41x = 12,611.00 × 4,946.66
  4. Step 4: Simplify right side
    9,138.41x = 62,382,341.63
  5. Step 5: Solve for x
    x = 62,382,341.63/9,138.41
  6. Step 6: Final answer
    x = 6,826.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.