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Finding the Fourth Proportional to 9,180.40, 13,776 and 3,634.28

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Solution

The fourth proportional to 9,180.40, 13,776 and 3,634.28 is: 5,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.40 : 13,776 = 3,634.28 : x
  2. Step 2: Convert to fraction form
    9,180.40/13,776 = 3,634.28/x
  3. Step 3: Cross multiply
    9,180.40x = 13,776 × 3,634.28
  4. Step 4: Simplify right side
    9,180.40x = 50,065,841.28
  5. Step 5: Solve for x
    x = 50,065,841.28/9,180.40
  6. Step 6: Final answer
    x = 5,453.56

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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.