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Finding the Fourth Proportional to 9,755.72, 14,620.62 and 5,597

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Solution

The fourth proportional to 9,755.72, 14,620.62 and 5,597 is: 8,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.72 : 14,620.62 = 5,597 : x
  2. Step 2: Convert to fraction form
    9,755.72/14,620.62 = 5,597/x
  3. Step 3: Cross multiply
    9,755.72x = 14,620.62 × 5,597
  4. Step 4: Simplify right side
    9,755.72x = 81,831,610.14
  5. Step 5: Solve for x
    x = 81,831,610.14/9,755.72
  6. Step 6: Final answer
    x = 8,388.06

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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.