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Finding the Fourth Proportional to 9,706.20, 14,559.30 and 2,779.80

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Solution

The fourth proportional to 9,706.20, 14,559.30 and 2,779.80 is: 4,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.20 : 14,559.30 = 2,779.80 : x
  2. Step 2: Convert to fraction form
    9,706.20/14,559.30 = 2,779.80/x
  3. Step 3: Cross multiply
    9,706.20x = 14,559.30 × 2,779.80
  4. Step 4: Simplify right side
    9,706.20x = 40,471,942.14
  5. Step 5: Solve for x
    x = 40,471,942.14/9,706.20
  6. Step 6: Final answer
    x = 4,169.70

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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.