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Finding the Fourth Proportional to 9,485.07, 14,221.53 and 3,942.24

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Solution

The fourth proportional to 9,485.07, 14,221.53 and 3,942.24 is: 5,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.07 : 14,221.53 = 3,942.24 : x
  2. Step 2: Convert to fraction form
    9,485.07/14,221.53 = 3,942.24/x
  3. Step 3: Cross multiply
    9,485.07x = 14,221.53 × 3,942.24
  4. Step 4: Simplify right side
    9,485.07x = 56,064,684.43
  5. Step 5: Solve for x
    x = 56,064,684.43/9,485.07
  6. Step 6: Final answer
    x = 5,910.84

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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.