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Finding the Fourth Proportional to 9,076.20, 12,537.90 and 7,006.92

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Solution

The fourth proportional to 9,076.20, 12,537.90 and 7,006.92 is: 9,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.20 : 12,537.90 = 7,006.92 : x
  2. Step 2: Convert to fraction form
    9,076.20/12,537.90 = 7,006.92/x
  3. Step 3: Cross multiply
    9,076.20x = 12,537.90 × 7,006.92
  4. Step 4: Simplify right side
    9,076.20x = 87,852,062.27
  5. Step 5: Solve for x
    x = 87,852,062.27/9,076.20
  6. Step 6: Final answer
    x = 9,679.39

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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.