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Finding the Fourth Proportional to 9,882.53, 14,823.81 and 2,486.94

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Solution

The fourth proportional to 9,882.53, 14,823.81 and 2,486.94 is: 3,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.53 : 14,823.81 = 2,486.94 : x
  2. Step 2: Convert to fraction form
    9,882.53/14,823.81 = 2,486.94/x
  3. Step 3: Cross multiply
    9,882.53x = 14,823.81 × 2,486.94
  4. Step 4: Simplify right side
    9,882.53x = 36,865,926.04
  5. Step 5: Solve for x
    x = 36,865,926.04/9,882.53
  6. Step 6: Final answer
    x = 3,730.42

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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.