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Finding the Fourth Proportional to 9,727.53, 14,599.46 and 5,050.41

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Solution

The fourth proportional to 9,727.53, 14,599.46 and 5,050.41 is: 7,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.53 : 14,599.46 = 5,050.41 : x
  2. Step 2: Convert to fraction form
    9,727.53/14,599.46 = 5,050.41/x
  3. Step 3: Cross multiply
    9,727.53x = 14,599.46 × 5,050.41
  4. Step 4: Simplify right side
    9,727.53x = 73,733,258.78
  5. Step 5: Solve for x
    x = 73,733,258.78/9,727.53
  6. Step 6: Final answer
    x = 7,579.85

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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.