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Finding the Fourth Proportional to 9,139, 12,611.92 and 4,947.34

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Solution

The fourth proportional to 9,139, 12,611.92 and 4,947.34 is: 6,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139 : 12,611.92 = 4,947.34 : x
  2. Step 2: Convert to fraction form
    9,139/12,611.92 = 4,947.34/x
  3. Step 3: Cross multiply
    9,139x = 12,611.92 × 4,947.34
  4. Step 4: Simplify right side
    9,139x = 62,395,456.29
  5. Step 5: Solve for x
    x = 62,395,456.29/9,139
  6. Step 6: Final answer
    x = 6,827.38

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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.