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Finding the Fourth Proportional to 9,850.34, 14,771.64 and 4,299.78

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Solution

The fourth proportional to 9,850.34, 14,771.64 and 4,299.78 is: 6,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.34 : 14,771.64 = 4,299.78 : x
  2. Step 2: Convert to fraction form
    9,850.34/14,771.64 = 4,299.78/x
  3. Step 3: Cross multiply
    9,850.34x = 14,771.64 × 4,299.78
  4. Step 4: Simplify right side
    9,850.34x = 63,514,802.24
  5. Step 5: Solve for x
    x = 63,514,802.24/9,850.34
  6. Step 6: Final answer
    x = 6,447.98

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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.