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Finding the Fourth Proportional to 10,902.72, 16,270.40 and 9,736.32

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Solution

The fourth proportional to 10,902.72, 16,270.40 and 9,736.32 is: 14,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.72 : 16,270.40 = 9,736.32 : x
  2. Step 2: Convert to fraction form
    10,902.72/16,270.40 = 9,736.32/x
  3. Step 3: Cross multiply
    10,902.72x = 16,270.40 × 9,736.32
  4. Step 4: Simplify right side
    10,902.72x = 158,413,820.93
  5. Step 5: Solve for x
    x = 158,413,820.93/10,902.72
  6. Step 6: Final answer
    x = 14,529.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.