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Finding the Fourth Proportional to 9,874.66, 14,817.84 and 3,639.07

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Solution

The fourth proportional to 9,874.66, 14,817.84 and 3,639.07 is: 5,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.66 : 14,817.84 = 3,639.07 : x
  2. Step 2: Convert to fraction form
    9,874.66/14,817.84 = 3,639.07/x
  3. Step 3: Cross multiply
    9,874.66x = 14,817.84 × 3,639.07
  4. Step 4: Simplify right side
    9,874.66x = 53,923,157.01
  5. Step 5: Solve for x
    x = 53,923,157.01/9,874.66
  6. Step 6: Final answer
    x = 5,460.76

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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.