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Finding the Fourth Proportional to 7,004.34, 9,644.27 and 6,005.61

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Solution

The fourth proportional to 7,004.34, 9,644.27 and 6,005.61 is: 8,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.34 : 9,644.27 = 6,005.61 : x
  2. Step 2: Convert to fraction form
    7,004.34/9,644.27 = 6,005.61/x
  3. Step 3: Cross multiply
    7,004.34x = 9,644.27 × 6,005.61
  4. Step 4: Simplify right side
    7,004.34x = 57,919,694.33
  5. Step 5: Solve for x
    x = 57,919,694.33/7,004.34
  6. Step 6: Final answer
    x = 8,269.12

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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.