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Finding the Fourth Proportional to 9,614.09, 14,414.32 and 4,274.35

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Solution

The fourth proportional to 9,614.09, 14,414.32 and 4,274.35 is: 6,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.09 : 14,414.32 = 4,274.35 : x
  2. Step 2: Convert to fraction form
    9,614.09/14,414.32 = 4,274.35/x
  3. Step 3: Cross multiply
    9,614.09x = 14,414.32 × 4,274.35
  4. Step 4: Simplify right side
    9,614.09x = 61,611,848.69
  5. Step 5: Solve for x
    x = 61,611,848.69/9,614.09
  6. Step 6: Final answer
    x = 6,408.50

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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.