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Finding the Fourth Proportional to 9,326.25, 13,993.29 and 3,783.56

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Solution

The fourth proportional to 9,326.25, 13,993.29 and 3,783.56 is: 5,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.25 : 13,993.29 = 3,783.56 : x
  2. Step 2: Convert to fraction form
    9,326.25/13,993.29 = 3,783.56/x
  3. Step 3: Cross multiply
    9,326.25x = 13,993.29 × 3,783.56
  4. Step 4: Simplify right side
    9,326.25x = 52,944,382.35
  5. Step 5: Solve for x
    x = 52,944,382.35/9,326.25
  6. Step 6: Final answer
    x = 5,676.92

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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.