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Finding the Fourth Proportional to 6,974.06, 9,624.22 and 3,830.26

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Solution

The fourth proportional to 6,974.06, 9,624.22 and 3,830.26 is: 5,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.06 : 9,624.22 = 3,830.26 : x
  2. Step 2: Convert to fraction form
    6,974.06/9,624.22 = 3,830.26/x
  3. Step 3: Cross multiply
    6,974.06x = 9,624.22 × 3,830.26
  4. Step 4: Simplify right side
    6,974.06x = 36,863,264.90
  5. Step 5: Solve for x
    x = 36,863,264.90/6,974.06
  6. Step 6: Final answer
    x = 5,285.77

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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.