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Finding the Fourth Proportional to 9,120.51, 13,684.18 and 3,197.84

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Solution

The fourth proportional to 9,120.51, 13,684.18 and 3,197.84 is: 4,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.51 : 13,684.18 = 3,197.84 : x
  2. Step 2: Convert to fraction form
    9,120.51/13,684.18 = 3,197.84/x
  3. Step 3: Cross multiply
    9,120.51x = 13,684.18 × 3,197.84
  4. Step 4: Simplify right side
    9,120.51x = 43,759,833.72
  5. Step 5: Solve for x
    x = 43,759,833.72/9,120.51
  6. Step 6: Final answer
    x = 4,797.96

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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.