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Finding the Fourth Proportional to 9,872.53, 14,816.57 and 4,604.83

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Solution

The fourth proportional to 9,872.53, 14,816.57 and 4,604.83 is: 6,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.53 : 14,816.57 = 4,604.83 : x
  2. Step 2: Convert to fraction form
    9,872.53/14,816.57 = 4,604.83/x
  3. Step 3: Cross multiply
    9,872.53x = 14,816.57 × 4,604.83
  4. Step 4: Simplify right side
    9,872.53x = 68,227,786.03
  5. Step 5: Solve for x
    x = 68,227,786.03/9,872.53
  6. Step 6: Final answer
    x = 6,910.87

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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.