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Finding the Fourth Proportional to 7,005.89, 9,666.92 and 4,172.91

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Solution

The fourth proportional to 7,005.89, 9,666.92 and 4,172.91 is: 5,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.89 : 9,666.92 = 4,172.91 : x
  2. Step 2: Convert to fraction form
    7,005.89/9,666.92 = 4,172.91/x
  3. Step 3: Cross multiply
    7,005.89x = 9,666.92 × 4,172.91
  4. Step 4: Simplify right side
    7,005.89x = 40,339,197.57
  5. Step 5: Solve for x
    x = 40,339,197.57/7,005.89
  6. Step 6: Final answer
    x = 5,757.90

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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.