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Finding the Fourth Proportional to 9,778.35, 14,661.11 and 5,561.69

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Solution

The fourth proportional to 9,778.35, 14,661.11 and 5,561.69 is: 8,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.35 : 14,661.11 = 5,561.69 : x
  2. Step 2: Convert to fraction form
    9,778.35/14,661.11 = 5,561.69/x
  3. Step 3: Cross multiply
    9,778.35x = 14,661.11 × 5,561.69
  4. Step 4: Simplify right side
    9,778.35x = 81,540,599.43
  5. Step 5: Solve for x
    x = 81,540,599.43/9,778.35
  6. Step 6: Final answer
    x = 8,338.89

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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.