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Finding the Fourth Proportional to 9,832.08, 13,574.97 and 9,204.66

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Solution

The fourth proportional to 9,832.08, 13,574.97 and 9,204.66 is: 12,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.08 : 13,574.97 = 9,204.66 : x
  2. Step 2: Convert to fraction form
    9,832.08/13,574.97 = 9,204.66/x
  3. Step 3: Cross multiply
    9,832.08x = 13,574.97 × 9,204.66
  4. Step 4: Simplify right side
    9,832.08x = 124,952,983.36
  5. Step 5: Solve for x
    x = 124,952,983.36/9,832.08
  6. Step 6: Final answer
    x = 12,708.70

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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.