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Finding the Fourth Proportional to 8,669.43, 13,005.97 and 2,830.14

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Solution

The fourth proportional to 8,669.43, 13,005.97 and 2,830.14 is: 4,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.43 : 13,005.97 = 2,830.14 : x
  2. Step 2: Convert to fraction form
    8,669.43/13,005.97 = 2,830.14/x
  3. Step 3: Cross multiply
    8,669.43x = 13,005.97 × 2,830.14
  4. Step 4: Simplify right side
    8,669.43x = 36,808,708.86
  5. Step 5: Solve for x
    x = 36,808,708.86/8,669.43
  6. Step 6: Final answer
    x = 4,245.80

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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.