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Finding the Fourth Proportional to 9,218.26, 13,833.03 and 3,670.82

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Solution

The fourth proportional to 9,218.26, 13,833.03 and 3,670.82 is: 5,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.26 : 13,833.03 = 3,670.82 : x
  2. Step 2: Convert to fraction form
    9,218.26/13,833.03 = 3,670.82/x
  3. Step 3: Cross multiply
    9,218.26x = 13,833.03 × 3,670.82
  4. Step 4: Simplify right side
    9,218.26x = 50,778,539.01
  5. Step 5: Solve for x
    x = 50,778,539.01/9,218.26
  6. Step 6: Final answer
    x = 5,508.48

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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.