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Finding the Fourth Proportional to 9,661.04, 14,493.60 and 2,997.98

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Solution

The fourth proportional to 9,661.04, 14,493.60 and 2,997.98 is: 4,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.04 : 14,493.60 = 2,997.98 : x
  2. Step 2: Convert to fraction form
    9,661.04/14,493.60 = 2,997.98/x
  3. Step 3: Cross multiply
    9,661.04x = 14,493.60 × 2,997.98
  4. Step 4: Simplify right side
    9,661.04x = 43,451,504.81
  5. Step 5: Solve for x
    x = 43,451,504.81/9,661.04
  6. Step 6: Final answer
    x = 4,497.60

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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.