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Finding the Fourth Proportional to 7,028.16, 9,694.04 and 4,789.14

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Solution

The fourth proportional to 7,028.16, 9,694.04 and 4,789.14 is: 6,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.16 : 9,694.04 = 4,789.14 : x
  2. Step 2: Convert to fraction form
    7,028.16/9,694.04 = 4,789.14/x
  3. Step 3: Cross multiply
    7,028.16x = 9,694.04 × 4,789.14
  4. Step 4: Simplify right side
    7,028.16x = 46,426,114.73
  5. Step 5: Solve for x
    x = 46,426,114.73/7,028.16
  6. Step 6: Final answer
    x = 6,605.73

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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.