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Finding the Fourth Proportional to 9,851.85, 14,777.99 and 4,004.43

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Solution

The fourth proportional to 9,851.85, 14,777.99 and 4,004.43 is: 6,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.85 : 14,777.99 = 4,004.43 : x
  2. Step 2: Convert to fraction form
    9,851.85/14,777.99 = 4,004.43/x
  3. Step 3: Cross multiply
    9,851.85x = 14,777.99 × 4,004.43
  4. Step 4: Simplify right side
    9,851.85x = 59,177,426.50
  5. Step 5: Solve for x
    x = 59,177,426.50/9,851.85
  6. Step 6: Final answer
    x = 6,006.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.