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Finding the Fourth Proportional to 9,840.56, 14,761.56 and 3,997.28

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Solution

The fourth proportional to 9,840.56, 14,761.56 and 3,997.28 is: 5,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.56 : 14,761.56 = 3,997.28 : x
  2. Step 2: Convert to fraction form
    9,840.56/14,761.56 = 3,997.28/x
  3. Step 3: Cross multiply
    9,840.56x = 14,761.56 × 3,997.28
  4. Step 4: Simplify right side
    9,840.56x = 59,006,088.56
  5. Step 5: Solve for x
    x = 59,006,088.56/9,840.56
  6. Step 6: Final answer
    x = 5,996.21

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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.