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Finding the Fourth Proportional to 9,298.99, 12,832.83 and 5,107.33

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Solution

The fourth proportional to 9,298.99, 12,832.83 and 5,107.33 is: 7,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.99 : 12,832.83 = 5,107.33 : x
  2. Step 2: Convert to fraction form
    9,298.99/12,832.83 = 5,107.33/x
  3. Step 3: Cross multiply
    9,298.99x = 12,832.83 × 5,107.33
  4. Step 4: Simplify right side
    9,298.99x = 65,541,407.94
  5. Step 5: Solve for x
    x = 65,541,407.94/9,298.99
  6. Step 6: Final answer
    x = 7,048.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.