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Finding the Fourth Proportional to 9,167.04, 12,659.52 and 7,832.96

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Solution

The fourth proportional to 9,167.04, 12,659.52 and 7,832.96 is: 10,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.04 : 12,659.52 = 7,832.96 : x
  2. Step 2: Convert to fraction form
    9,167.04/12,659.52 = 7,832.96/x
  3. Step 3: Cross multiply
    9,167.04x = 12,659.52 × 7,832.96
  4. Step 4: Simplify right side
    9,167.04x = 99,161,513.78
  5. Step 5: Solve for x
    x = 99,161,513.78/9,167.04
  6. Step 6: Final answer
    x = 10,817.18

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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.