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Finding the Fourth Proportional to 9,914.62, 14,872.74 and 4,071.28

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Solution

The fourth proportional to 9,914.62, 14,872.74 and 4,071.28 is: 6,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.62 : 14,872.74 = 4,071.28 : x
  2. Step 2: Convert to fraction form
    9,914.62/14,872.74 = 4,071.28/x
  3. Step 3: Cross multiply
    9,914.62x = 14,872.74 × 4,071.28
  4. Step 4: Simplify right side
    9,914.62x = 60,551,088.91
  5. Step 5: Solve for x
    x = 60,551,088.91/9,914.62
  6. Step 6: Final answer
    x = 6,107.25

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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.