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Finding the Fourth Proportional to 9,208.74, 13,810.14 and 3,661.08

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Solution

The fourth proportional to 9,208.74, 13,810.14 and 3,661.08 is: 5,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.74 : 13,810.14 = 3,661.08 : x
  2. Step 2: Convert to fraction form
    9,208.74/13,810.14 = 3,661.08/x
  3. Step 3: Cross multiply
    9,208.74x = 13,810.14 × 3,661.08
  4. Step 4: Simplify right side
    9,208.74x = 50,560,027.35
  5. Step 5: Solve for x
    x = 50,560,027.35/9,208.74
  6. Step 6: Final answer
    x = 5,490.44

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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.