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Finding the Fourth Proportional to 9,414.46, 12,997.20 and 8,417.35

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Solution

The fourth proportional to 9,414.46, 12,997.20 and 8,417.35 is: 11,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.46 : 12,997.20 = 8,417.35 : x
  2. Step 2: Convert to fraction form
    9,414.46/12,997.20 = 8,417.35/x
  3. Step 3: Cross multiply
    9,414.46x = 12,997.20 × 8,417.35
  4. Step 4: Simplify right side
    9,414.46x = 109,401,981.42
  5. Step 5: Solve for x
    x = 109,401,981.42/9,414.46
  6. Step 6: Final answer
    x = 11,620.63

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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.