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Finding the Fourth Proportional to 9,771.84, 14,650.56 and 4,224.96

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Solution

The fourth proportional to 9,771.84, 14,650.56 and 4,224.96 is: 6,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.84 : 14,650.56 = 4,224.96 : x
  2. Step 2: Convert to fraction form
    9,771.84/14,650.56 = 4,224.96/x
  3. Step 3: Cross multiply
    9,771.84x = 14,650.56 × 4,224.96
  4. Step 4: Simplify right side
    9,771.84x = 61,898,029.98
  5. Step 5: Solve for x
    x = 61,898,029.98/9,771.84
  6. Step 6: Final answer
    x = 6,334.33

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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.