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Finding the Fourth Proportional to 9,894.56, 14,839.50 and 2,872.70

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Solution

The fourth proportional to 9,894.56, 14,839.50 and 2,872.70 is: 4,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.56 : 14,839.50 = 2,872.70 : x
  2. Step 2: Convert to fraction form
    9,894.56/14,839.50 = 2,872.70/x
  3. Step 3: Cross multiply
    9,894.56x = 14,839.50 × 2,872.70
  4. Step 4: Simplify right side
    9,894.56x = 42,629,431.65
  5. Step 5: Solve for x
    x = 42,629,431.65/9,894.56
  6. Step 6: Final answer
    x = 4,308.37

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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.