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Finding the Fourth Proportional to 8,466.12, 12,706.88 and 4,309.00

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Solution

The fourth proportional to 8,466.12, 12,706.88 and 4,309.00 is: 6,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.12 : 12,706.88 = 4,309.00 : x
  2. Step 2: Convert to fraction form
    8,466.12/12,706.88 = 4,309.00/x
  3. Step 3: Cross multiply
    8,466.12x = 12,706.88 × 4,309.00
  4. Step 4: Simplify right side
    8,466.12x = 54,753,892.61
  5. Step 5: Solve for x
    x = 54,753,892.61/8,466.12
  6. Step 6: Final answer
    x = 6,467.41

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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.