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Finding the Fourth Proportional to 9,983.85, 14,981.04 and 7,642.41

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Solution

The fourth proportional to 9,983.85, 14,981.04 and 7,642.41 is: 11,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.85 : 14,981.04 = 7,642.41 : x
  2. Step 2: Convert to fraction form
    9,983.85/14,981.04 = 7,642.41/x
  3. Step 3: Cross multiply
    9,983.85x = 14,981.04 × 7,642.41
  4. Step 4: Simplify right side
    9,983.85x = 114,491,249.91
  5. Step 5: Solve for x
    x = 114,491,249.91/9,983.85
  6. Step 6: Final answer
    x = 11,467.65

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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.