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Finding the Fourth Proportional to 9,151.64, 13,701.51 and 6,022.23

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Solution

The fourth proportional to 9,151.64, 13,701.51 and 6,022.23 is: 9,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.64 : 13,701.51 = 6,022.23 : x
  2. Step 2: Convert to fraction form
    9,151.64/13,701.51 = 6,022.23/x
  3. Step 3: Cross multiply
    9,151.64x = 13,701.51 × 6,022.23
  4. Step 4: Simplify right side
    9,151.64x = 82,513,644.57
  5. Step 5: Solve for x
    x = 82,513,644.57/9,151.64
  6. Step 6: Final answer
    x = 9,016.27

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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.