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Finding the Fourth Proportional to 9,732.08, 14,609.04 and 3,892.76

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Solution

The fourth proportional to 9,732.08, 14,609.04 and 3,892.76 is: 5,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.08 : 14,609.04 = 3,892.76 : x
  2. Step 2: Convert to fraction form
    9,732.08/14,609.04 = 3,892.76/x
  3. Step 3: Cross multiply
    9,732.08x = 14,609.04 × 3,892.76
  4. Step 4: Simplify right side
    9,732.08x = 56,869,486.55
  5. Step 5: Solve for x
    x = 56,869,486.55/9,732.08
  6. Step 6: Final answer
    x = 5,843.51

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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.