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Finding the Fourth Proportional to 8,971.22, 12,385.85 and 5,786.07

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Solution

The fourth proportional to 8,971.22, 12,385.85 and 5,786.07 is: 7,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.22 : 12,385.85 = 5,786.07 : x
  2. Step 2: Convert to fraction form
    8,971.22/12,385.85 = 5,786.07/x
  3. Step 3: Cross multiply
    8,971.22x = 12,385.85 × 5,786.07
  4. Step 4: Simplify right side
    8,971.22x = 71,665,366.18
  5. Step 5: Solve for x
    x = 71,665,366.18/8,971.22
  6. Step 6: Final answer
    x = 7,988.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.