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Finding the Fourth Proportional to 9,180.30, 13,771.02 and 2,607

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Solution

The fourth proportional to 9,180.30, 13,771.02 and 2,607 is: 3,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.30 : 13,771.02 = 2,607 : x
  2. Step 2: Convert to fraction form
    9,180.30/13,771.02 = 2,607/x
  3. Step 3: Cross multiply
    9,180.30x = 13,771.02 × 2,607
  4. Step 4: Simplify right side
    9,180.30x = 35,901,049.14
  5. Step 5: Solve for x
    x = 35,901,049.14/9,180.30
  6. Step 6: Final answer
    x = 3,910.66

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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.