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Finding the Fourth Proportional to 8,573.57, 12,847.05 and 5,946.20

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Solution

The fourth proportional to 8,573.57, 12,847.05 and 5,946.20 is: 8,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.57 : 12,847.05 = 5,946.20 : x
  2. Step 2: Convert to fraction form
    8,573.57/12,847.05 = 5,946.20/x
  3. Step 3: Cross multiply
    8,573.57x = 12,847.05 × 5,946.20
  4. Step 4: Simplify right side
    8,573.57x = 76,391,064.47
  5. Step 5: Solve for x
    x = 76,391,064.47/8,573.57
  6. Step 6: Final answer
    x = 8,910.07

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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.