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Finding the Fourth Proportional to 9,924.12, 14,887.80 and 2,997

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Solution

The fourth proportional to 9,924.12, 14,887.80 and 2,997 is: 4,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.12 : 14,887.80 = 2,997 : x
  2. Step 2: Convert to fraction form
    9,924.12/14,887.80 = 2,997/x
  3. Step 3: Cross multiply
    9,924.12x = 14,887.80 × 2,997
  4. Step 4: Simplify right side
    9,924.12x = 44,618,736.60
  5. Step 5: Solve for x
    x = 44,618,736.60/9,924.12
  6. Step 6: Final answer
    x = 4,495.99

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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.