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Finding the Fourth Proportional to 9,785.53, 14,677.69 and 2,860.03

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Solution

The fourth proportional to 9,785.53, 14,677.69 and 2,860.03 is: 4,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.53 : 14,677.69 = 2,860.03 : x
  2. Step 2: Convert to fraction form
    9,785.53/14,677.69 = 2,860.03/x
  3. Step 3: Cross multiply
    9,785.53x = 14,677.69 × 2,860.03
  4. Step 4: Simplify right side
    9,785.53x = 41,978,633.73
  5. Step 5: Solve for x
    x = 41,978,633.73/9,785.53
  6. Step 6: Final answer
    x = 4,289.87

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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.