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Finding the Fourth Proportional to 9,946, 14,919.60 and 3,020.56

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Solution

The fourth proportional to 9,946, 14,919.60 and 3,020.56 is: 4,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946 : 14,919.60 = 3,020.56 : x
  2. Step 2: Convert to fraction form
    9,946/14,919.60 = 3,020.56/x
  3. Step 3: Cross multiply
    9,946x = 14,919.60 × 3,020.56
  4. Step 4: Simplify right side
    9,946x = 45,065,546.98
  5. Step 5: Solve for x
    x = 45,065,546.98/9,946
  6. Step 6: Final answer
    x = 4,531.02

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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.