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Finding the Fourth Proportional to 9,997.36, 14,996.88 and 4,074.64

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Solution

The fourth proportional to 9,997.36, 14,996.88 and 4,074.64 is: 6,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.36 : 14,996.88 = 4,074.64 : x
  2. Step 2: Convert to fraction form
    9,997.36/14,996.88 = 4,074.64/x
  3. Step 3: Cross multiply
    9,997.36x = 14,996.88 × 4,074.64
  4. Step 4: Simplify right side
    9,997.36x = 61,106,887.12
  5. Step 5: Solve for x
    x = 61,106,887.12/9,997.36
  6. Step 6: Final answer
    x = 6,112.30

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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.