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Finding the Fourth Proportional to 9,290.44, 13,932.78 and 3,133

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Solution

The fourth proportional to 9,290.44, 13,932.78 and 3,133 is: 4,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.44 : 13,932.78 = 3,133 : x
  2. Step 2: Convert to fraction form
    9,290.44/13,932.78 = 3,133/x
  3. Step 3: Cross multiply
    9,290.44x = 13,932.78 × 3,133
  4. Step 4: Simplify right side
    9,290.44x = 43,651,399.74
  5. Step 5: Solve for x
    x = 43,651,399.74/9,290.44
  6. Step 6: Final answer
    x = 4,698.53

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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.