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Finding the Fourth Proportional to 31,852.44, 47,778.77 and 9,666

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Solution

The fourth proportional to 31,852.44, 47,778.77 and 9,666 is: 14,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.44 : 47,778.77 = 9,666 : x
  2. Step 2: Convert to fraction form
    31,852.44/47,778.77 = 9,666/x
  3. Step 3: Cross multiply
    31,852.44x = 47,778.77 × 9,666
  4. Step 4: Simplify right side
    31,852.44x = 461,829,614.99
  5. Step 5: Solve for x
    x = 461,829,614.99/31,852.44
  6. Step 6: Final answer
    x = 14,499.03

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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.