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Finding the Fourth Proportional to 9,298.82, 12,832.37 and 5,107.07

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Solution

The fourth proportional to 9,298.82, 12,832.37 and 5,107.07 is: 7,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.82 : 12,832.37 = 5,107.07 : x
  2. Step 2: Convert to fraction form
    9,298.82/12,832.37 = 5,107.07/x
  3. Step 3: Cross multiply
    9,298.82x = 12,832.37 × 5,107.07
  4. Step 4: Simplify right side
    9,298.82x = 65,535,722.16
  5. Step 5: Solve for x
    x = 65,535,722.16/9,298.82
  6. Step 6: Final answer
    x = 7,047.75

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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.