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Finding the Fourth Proportional to 9,180.48, 13,771 and 2,255.04

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Solution

The fourth proportional to 9,180.48, 13,771 and 2,255.04 is: 3,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.48 : 13,771 = 2,255.04 : x
  2. Step 2: Convert to fraction form
    9,180.48/13,771 = 2,255.04/x
  3. Step 3: Cross multiply
    9,180.48x = 13,771 × 2,255.04
  4. Step 4: Simplify right side
    9,180.48x = 31,054,155.84
  5. Step 5: Solve for x
    x = 31,054,155.84/9,180.48
  6. Step 6: Final answer
    x = 3,382.63

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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.