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Finding the Fourth Proportional to 6,974.91, 9,626.91 and 4,824.48

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Solution

The fourth proportional to 6,974.91, 9,626.91 and 4,824.48 is: 6,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.91 : 9,626.91 = 4,824.48 : x
  2. Step 2: Convert to fraction form
    6,974.91/9,626.91 = 4,824.48/x
  3. Step 3: Cross multiply
    6,974.91x = 9,626.91 × 4,824.48
  4. Step 4: Simplify right side
    6,974.91x = 46,444,834.76
  5. Step 5: Solve for x
    x = 46,444,834.76/6,974.91
  6. Step 6: Final answer
    x = 6,658.84

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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.