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Finding the Fourth Proportional to 8,946.91, 13,420.50 and 3,103.66

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Solution

The fourth proportional to 8,946.91, 13,420.50 and 3,103.66 is: 4,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.91 : 13,420.50 = 3,103.66 : x
  2. Step 2: Convert to fraction form
    8,946.91/13,420.50 = 3,103.66/x
  3. Step 3: Cross multiply
    8,946.91x = 13,420.50 × 3,103.66
  4. Step 4: Simplify right side
    8,946.91x = 41,652,669.03
  5. Step 5: Solve for x
    x = 41,652,669.03/8,946.91
  6. Step 6: Final answer
    x = 4,655.54

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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.