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Finding the Fourth Proportional to 9,218.08, 13,825.08 and 3,670.40

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Solution

The fourth proportional to 9,218.08, 13,825.08 and 3,670.40 is: 5,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.08 : 13,825.08 = 3,670.40 : x
  2. Step 2: Convert to fraction form
    9,218.08/13,825.08 = 3,670.40/x
  3. Step 3: Cross multiply
    9,218.08x = 13,825.08 × 3,670.40
  4. Step 4: Simplify right side
    9,218.08x = 50,743,573.63
  5. Step 5: Solve for x
    x = 50,743,573.63/9,218.08
  6. Step 6: Final answer
    x = 5,504.79

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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.