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Finding the Fourth Proportional to 9,382.99, 12,936.76 and 6,019.87

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Solution

The fourth proportional to 9,382.99, 12,936.76 and 6,019.87 is: 8,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.99 : 12,936.76 = 6,019.87 : x
  2. Step 2: Convert to fraction form
    9,382.99/12,936.76 = 6,019.87/x
  3. Step 3: Cross multiply
    9,382.99x = 12,936.76 × 6,019.87
  4. Step 4: Simplify right side
    9,382.99x = 77,877,613.42
  5. Step 5: Solve for x
    x = 77,877,613.42/9,382.99
  6. Step 6: Final answer
    x = 8,299.87

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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.