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Finding the Fourth Proportional to 9,832.89, 14,725.05 and 7,328.07

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Solution

The fourth proportional to 9,832.89, 14,725.05 and 7,328.07 is: 10,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.89 : 14,725.05 = 7,328.07 : x
  2. Step 2: Convert to fraction form
    9,832.89/14,725.05 = 7,328.07/x
  3. Step 3: Cross multiply
    9,832.89x = 14,725.05 × 7,328.07
  4. Step 4: Simplify right side
    9,832.89x = 107,906,197.15
  5. Step 5: Solve for x
    x = 107,906,197.15/9,832.89
  6. Step 6: Final answer
    x = 10,974.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.