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Finding the Fourth Proportional to 8,314.36, 12,461.98 and 3,633.28

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Solution

The fourth proportional to 8,314.36, 12,461.98 and 3,633.28 is: 5,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.36 : 12,461.98 = 3,633.28 : x
  2. Step 2: Convert to fraction form
    8,314.36/12,461.98 = 3,633.28/x
  3. Step 3: Cross multiply
    8,314.36x = 12,461.98 × 3,633.28
  4. Step 4: Simplify right side
    8,314.36x = 45,277,782.22
  5. Step 5: Solve for x
    x = 45,277,782.22/8,314.36
  6. Step 6: Final answer
    x = 5,445.73

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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.