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Finding the Fourth Proportional to 9,414, 14,102.62 and 4,476.84

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Solution

The fourth proportional to 9,414, 14,102.62 and 4,476.84 is: 6,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414 : 14,102.62 = 4,476.84 : x
  2. Step 2: Convert to fraction form
    9,414/14,102.62 = 4,476.84/x
  3. Step 3: Cross multiply
    9,414x = 14,102.62 × 4,476.84
  4. Step 4: Simplify right side
    9,414x = 63,135,173.32
  5. Step 5: Solve for x
    x = 63,135,173.32/9,414
  6. Step 6: Final answer
    x = 6,706.52

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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.