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Finding the Fourth Proportional to 9,705, 14,535.83 and 8,439.38

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Solution

The fourth proportional to 9,705, 14,535.83 and 8,439.38 is: 12,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705 : 14,535.83 = 8,439.38 : x
  2. Step 2: Convert to fraction form
    9,705/14,535.83 = 8,439.38/x
  3. Step 3: Cross multiply
    9,705x = 14,535.83 × 8,439.38
  4. Step 4: Simplify right side
    9,705x = 122,673,392.99
  5. Step 5: Solve for x
    x = 122,673,392.99/9,705
  6. Step 6: Final answer
    x = 12,640.23

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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.