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Finding the Fourth Proportional to 6,176.66, 9,265.00 and 2,892.06

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Solution

The fourth proportional to 6,176.66, 9,265.00 and 2,892.06 is: 4,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.66 : 9,265.00 = 2,892.06 : x
  2. Step 2: Convert to fraction form
    6,176.66/9,265.00 = 2,892.06/x
  3. Step 3: Cross multiply
    6,176.66x = 9,265.00 × 2,892.06
  4. Step 4: Simplify right side
    6,176.66x = 26,794,893.93
  5. Step 5: Solve for x
    x = 26,794,893.93/6,176.66
  6. Step 6: Final answer
    x = 4,338.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.