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Finding the Fourth Proportional to 9,896.48, 14,850.54 and 9,817.28

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Solution

The fourth proportional to 9,896.48, 14,850.54 and 9,817.28 is: 14,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.48 : 14,850.54 = 9,817.28 : x
  2. Step 2: Convert to fraction form
    9,896.48/14,850.54 = 9,817.28/x
  3. Step 3: Cross multiply
    9,896.48x = 14,850.54 × 9,817.28
  4. Step 4: Simplify right side
    9,896.48x = 145,791,909.33
  5. Step 5: Solve for x
    x = 145,791,909.33/9,896.48
  6. Step 6: Final answer
    x = 14,731.69

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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.