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Finding the Fourth Proportional to 9,381.14, 14,064.76 and 5,682.48

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Solution

The fourth proportional to 9,381.14, 14,064.76 and 5,682.48 is: 8,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.14 : 14,064.76 = 5,682.48 : x
  2. Step 2: Convert to fraction form
    9,381.14/14,064.76 = 5,682.48/x
  3. Step 3: Cross multiply
    9,381.14x = 14,064.76 × 5,682.48
  4. Step 4: Simplify right side
    9,381.14x = 79,922,717.40
  5. Step 5: Solve for x
    x = 79,922,717.40/9,381.14
  6. Step 6: Final answer
    x = 8,519.51

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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.