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Finding the Fourth Proportional to 9,661.02, 14,493.78 and 3,086.70

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Solution

The fourth proportional to 9,661.02, 14,493.78 and 3,086.70 is: 4,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.02 : 14,493.78 = 3,086.70 : x
  2. Step 2: Convert to fraction form
    9,661.02/14,493.78 = 3,086.70/x
  3. Step 3: Cross multiply
    9,661.02x = 14,493.78 × 3,086.70
  4. Step 4: Simplify right side
    9,661.02x = 44,737,950.73
  5. Step 5: Solve for x
    x = 44,737,950.73/9,661.02
  6. Step 6: Final answer
    x = 4,630.77

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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.