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Finding the Fourth Proportional to 9,803.92, 14,671.85 and 8,028.40

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Solution

The fourth proportional to 9,803.92, 14,671.85 and 8,028.40 is: 12,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.92 : 14,671.85 = 8,028.40 : x
  2. Step 2: Convert to fraction form
    9,803.92/14,671.85 = 8,028.40/x
  3. Step 3: Cross multiply
    9,803.92x = 14,671.85 × 8,028.40
  4. Step 4: Simplify right side
    9,803.92x = 117,791,480.54
  5. Step 5: Solve for x
    x = 117,791,480.54/9,803.92
  6. Step 6: Final answer
    x = 12,014.73

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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.