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Finding the Fourth Proportional to 9,789.57, 14,686.79 and 3,950.28

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Solution

The fourth proportional to 9,789.57, 14,686.79 and 3,950.28 is: 5,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.57 : 14,686.79 = 3,950.28 : x
  2. Step 2: Convert to fraction form
    9,789.57/14,686.79 = 3,950.28/x
  3. Step 3: Cross multiply
    9,789.57x = 14,686.79 × 3,950.28
  4. Step 4: Simplify right side
    9,789.57x = 58,016,913.05
  5. Step 5: Solve for x
    x = 58,016,913.05/9,789.57
  6. Step 6: Final answer
    x = 5,926.40

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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.