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Finding the Fourth Proportional to 9,814.86, 14,716.82 and 3,239.28

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Solution

The fourth proportional to 9,814.86, 14,716.82 and 3,239.28 is: 4,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.86 : 14,716.82 = 3,239.28 : x
  2. Step 2: Convert to fraction form
    9,814.86/14,716.82 = 3,239.28/x
  3. Step 3: Cross multiply
    9,814.86x = 14,716.82 × 3,239.28
  4. Step 4: Simplify right side
    9,814.86x = 47,671,884.49
  5. Step 5: Solve for x
    x = 47,671,884.49/9,814.86
  6. Step 6: Final answer
    x = 4,857.11

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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.