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Finding the Fourth Proportional to 9,850.85, 14,776.49 and 4,003.43

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Solution

The fourth proportional to 9,850.85, 14,776.49 and 4,003.43 is: 6,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.85 : 14,776.49 = 4,003.43 : x
  2. Step 2: Convert to fraction form
    9,850.85/14,776.49 = 4,003.43/x
  3. Step 3: Cross multiply
    9,850.85x = 14,776.49 × 4,003.43
  4. Step 4: Simplify right side
    9,850.85x = 59,156,623.34
  5. Step 5: Solve for x
    x = 59,156,623.34/9,850.85
  6. Step 6: Final answer
    x = 6,005.23

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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.