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Finding the Fourth Proportional to 9,913.50, 14,872.41 and 3,757.50

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Solution

The fourth proportional to 9,913.50, 14,872.41 and 3,757.50 is: 5,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.50 : 14,872.41 = 3,757.50 : x
  2. Step 2: Convert to fraction form
    9,913.50/14,872.41 = 3,757.50/x
  3. Step 3: Cross multiply
    9,913.50x = 14,872.41 × 3,757.50
  4. Step 4: Simplify right side
    9,913.50x = 55,883,080.58
  5. Step 5: Solve for x
    x = 55,883,080.58/9,913.50
  6. Step 6: Final answer
    x = 5,637.07

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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.