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Finding the Fourth Proportional to 9,010.68, 13,523.28 and 3,820.20

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Solution

The fourth proportional to 9,010.68, 13,523.28 and 3,820.20 is: 5,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.68 : 13,523.28 = 3,820.20 : x
  2. Step 2: Convert to fraction form
    9,010.68/13,523.28 = 3,820.20/x
  3. Step 3: Cross multiply
    9,010.68x = 13,523.28 × 3,820.20
  4. Step 4: Simplify right side
    9,010.68x = 51,661,634.26
  5. Step 5: Solve for x
    x = 51,661,634.26/9,010.68
  6. Step 6: Final answer
    x = 5,733.38

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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.