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Finding the Fourth Proportional to 9,817.99, 14,730.90 and 3,578.43

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Solution

The fourth proportional to 9,817.99, 14,730.90 and 3,578.43 is: 5,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.99 : 14,730.90 = 3,578.43 : x
  2. Step 2: Convert to fraction form
    9,817.99/14,730.90 = 3,578.43/x
  3. Step 3: Cross multiply
    9,817.99x = 14,730.90 × 3,578.43
  4. Step 4: Simplify right side
    9,817.99x = 52,713,494.49
  5. Step 5: Solve for x
    x = 52,713,494.49/9,817.99
  6. Step 6: Final answer
    x = 5,369.07

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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.