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Finding the Fourth Proportional to 9,914.75, 14,874.56 and 2,989.25

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Solution

The fourth proportional to 9,914.75, 14,874.56 and 2,989.25 is: 4,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.75 : 14,874.56 = 2,989.25 : x
  2. Step 2: Convert to fraction form
    9,914.75/14,874.56 = 2,989.25/x
  3. Step 3: Cross multiply
    9,914.75x = 14,874.56 × 2,989.25
  4. Step 4: Simplify right side
    9,914.75x = 44,463,763.53
  5. Step 5: Solve for x
    x = 44,463,763.53/9,914.75
  6. Step 6: Final answer
    x = 4,484.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.