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Finding the Fourth Proportional to 6,229.25, 9,320.81 and 4,992.92

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Solution

The fourth proportional to 6,229.25, 9,320.81 and 4,992.92 is: 7,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.25 : 9,320.81 = 4,992.92 : x
  2. Step 2: Convert to fraction form
    6,229.25/9,320.81 = 4,992.92/x
  3. Step 3: Cross multiply
    6,229.25x = 9,320.81 × 4,992.92
  4. Step 4: Simplify right side
    6,229.25x = 46,537,987.10
  5. Step 5: Solve for x
    x = 46,537,987.10/6,229.25
  6. Step 6: Final answer
    x = 7,470.89

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