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Finding the Fourth Proportional to 6,974.02, 9,624.22 and 3,830.21

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Solution

The fourth proportional to 6,974.02, 9,624.22 and 3,830.21 is: 5,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.02 : 9,624.22 = 3,830.21 : x
  2. Step 2: Convert to fraction form
    6,974.02/9,624.22 = 3,830.21/x
  3. Step 3: Cross multiply
    6,974.02x = 9,624.22 × 3,830.21
  4. Step 4: Simplify right side
    6,974.02x = 36,862,762.08
  5. Step 5: Solve for x
    x = 36,862,762.08/6,974.02
  6. Step 6: Final answer
    x = 5,285.73

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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.