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Finding the Fourth Proportional to 9,487.68, 13,093.44 and 8,306.72

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Solution

The fourth proportional to 9,487.68, 13,093.44 and 8,306.72 is: 11,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.68 : 13,093.44 = 8,306.72 : x
  2. Step 2: Convert to fraction form
    9,487.68/13,093.44 = 8,306.72/x
  3. Step 3: Cross multiply
    9,487.68x = 13,093.44 × 8,306.72
  4. Step 4: Simplify right side
    9,487.68x = 108,763,539.92
  5. Step 5: Solve for x
    x = 108,763,539.92/9,487.68
  6. Step 6: Final answer
    x = 11,463.66

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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.