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Finding the Fourth Proportional to 9,212.54, 13,814.48 and 3,365.06

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Solution

The fourth proportional to 9,212.54, 13,814.48 and 3,365.06 is: 5,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.54 : 13,814.48 = 3,365.06 : x
  2. Step 2: Convert to fraction form
    9,212.54/13,814.48 = 3,365.06/x
  3. Step 3: Cross multiply
    9,212.54x = 13,814.48 × 3,365.06
  4. Step 4: Simplify right side
    9,212.54x = 46,486,493.41
  5. Step 5: Solve for x
    x = 46,486,493.41/9,212.54
  6. Step 6: Final answer
    x = 5,046.00

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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.