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Finding the Fourth Proportional to 9,823.44, 14,737.38 and 3,250.32

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Solution

The fourth proportional to 9,823.44, 14,737.38 and 3,250.32 is: 4,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.44 : 14,737.38 = 3,250.32 : x
  2. Step 2: Convert to fraction form
    9,823.44/14,737.38 = 3,250.32/x
  3. Step 3: Cross multiply
    9,823.44x = 14,737.38 × 3,250.32
  4. Step 4: Simplify right side
    9,823.44x = 47,901,200.96
  5. Step 5: Solve for x
    x = 47,901,200.96/9,823.44
  6. Step 6: Final answer
    x = 4,876.21

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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.