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Finding the Fourth Proportional to 9,171.93, 13,758.80 and 3,329.00

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Solution

The fourth proportional to 9,171.93, 13,758.80 and 3,329.00 is: 4,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.93 : 13,758.80 = 3,329.00 : x
  2. Step 2: Convert to fraction form
    9,171.93/13,758.80 = 3,329.00/x
  3. Step 3: Cross multiply
    9,171.93x = 13,758.80 × 3,329.00
  4. Step 4: Simplify right side
    9,171.93x = 45,802,959.76
  5. Step 5: Solve for x
    x = 45,802,959.76/9,171.93
  6. Step 6: Final answer
    x = 4,993.82

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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.