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Finding the Fourth Proportional to 9,138.38, 12,610.99 and 4,946.63

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Solution

The fourth proportional to 9,138.38, 12,610.99 and 4,946.63 is: 6,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.38 : 12,610.99 = 4,946.63 : x
  2. Step 2: Convert to fraction form
    9,138.38/12,610.99 = 4,946.63/x
  3. Step 3: Cross multiply
    9,138.38x = 12,610.99 × 4,946.63
  4. Step 4: Simplify right side
    9,138.38x = 62,381,844.59
  5. Step 5: Solve for x
    x = 62,381,844.59/9,138.38
  6. Step 6: Final answer
    x = 6,826.36

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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.