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Finding the Fourth Proportional to 34,813.85, 52,214.15 and 9,847.87

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Solution

The fourth proportional to 34,813.85, 52,214.15 and 9,847.87 is: 14,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,813.85 : 52,214.15 = 9,847.87 : x
  2. Step 2: Convert to fraction form
    34,813.85/52,214.15 = 9,847.87/x
  3. Step 3: Cross multiply
    34,813.85x = 52,214.15 × 9,847.87
  4. Step 4: Simplify right side
    34,813.85x = 514,198,055.44
  5. Step 5: Solve for x
    x = 514,198,055.44/34,813.85
  6. Step 6: Final answer
    x = 14,769.93

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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.