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Finding the Fourth Proportional to 9,896.92, 14,847.81 and 4,557.60

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Solution

The fourth proportional to 9,896.92, 14,847.81 and 4,557.60 is: 6,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.92 : 14,847.81 = 4,557.60 : x
  2. Step 2: Convert to fraction form
    9,896.92/14,847.81 = 4,557.60/x
  3. Step 3: Cross multiply
    9,896.92x = 14,847.81 × 4,557.60
  4. Step 4: Simplify right side
    9,896.92x = 67,670,378.86
  5. Step 5: Solve for x
    x = 67,670,378.86/9,896.92
  6. Step 6: Final answer
    x = 6,837.52

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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.