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Finding the Fourth Proportional to 9,794.16, 14,692.86 and 4,863.96

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Solution

The fourth proportional to 9,794.16, 14,692.86 and 4,863.96 is: 7,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.16 : 14,692.86 = 4,863.96 : x
  2. Step 2: Convert to fraction form
    9,794.16/14,692.86 = 4,863.96/x
  3. Step 3: Cross multiply
    9,794.16x = 14,692.86 × 4,863.96
  4. Step 4: Simplify right side
    9,794.16x = 71,465,483.33
  5. Step 5: Solve for x
    x = 71,465,483.33/9,794.16
  6. Step 6: Final answer
    x = 7,296.74

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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.