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Finding the Fourth Proportional to 9,906.04, 14,861.22 and 2,980

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Solution

The fourth proportional to 9,906.04, 14,861.22 and 2,980 is: 4,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.04 : 14,861.22 = 2,980 : x
  2. Step 2: Convert to fraction form
    9,906.04/14,861.22 = 2,980/x
  3. Step 3: Cross multiply
    9,906.04x = 14,861.22 × 2,980
  4. Step 4: Simplify right side
    9,906.04x = 44,286,435.60
  5. Step 5: Solve for x
    x = 44,286,435.60/9,906.04
  6. Step 6: Final answer
    x = 4,470.65

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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.