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Finding the Fourth Proportional to 9,778.26, 14,668.35 and 2,758.74

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Solution

The fourth proportional to 9,778.26, 14,668.35 and 2,758.74 is: 4,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.26 : 14,668.35 = 2,758.74 : x
  2. Step 2: Convert to fraction form
    9,778.26/14,668.35 = 2,758.74/x
  3. Step 3: Cross multiply
    9,778.26x = 14,668.35 × 2,758.74
  4. Step 4: Simplify right side
    9,778.26x = 40,466,163.88
  5. Step 5: Solve for x
    x = 40,466,163.88/9,778.26
  6. Step 6: Final answer
    x = 4,138.38

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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.