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Finding the Fourth Proportional to 9,130.09, 13,629.08 and 8,022.91

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Solution

The fourth proportional to 9,130.09, 13,629.08 and 8,022.91 is: 11,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.09 : 13,629.08 = 8,022.91 : x
  2. Step 2: Convert to fraction form
    9,130.09/13,629.08 = 8,022.91/x
  3. Step 3: Cross multiply
    9,130.09x = 13,629.08 × 8,022.91
  4. Step 4: Simplify right side
    9,130.09x = 109,344,882.22
  5. Step 5: Solve for x
    x = 109,344,882.22/9,130.09
  6. Step 6: Final answer
    x = 11,976.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.