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Finding the Fourth Proportional to 8,964.86, 13,446.98 and 3,418

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Solution

The fourth proportional to 8,964.86, 13,446.98 and 3,418 is: 5,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.86 : 13,446.98 = 3,418 : x
  2. Step 2: Convert to fraction form
    8,964.86/13,446.98 = 3,418/x
  3. Step 3: Cross multiply
    8,964.86x = 13,446.98 × 3,418
  4. Step 4: Simplify right side
    8,964.86x = 45,961,777.64
  5. Step 5: Solve for x
    x = 45,961,777.64/8,964.86
  6. Step 6: Final answer
    x = 5,126.88

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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.