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Finding the Fourth Proportional to 9,302.70, 13,942.16 and 4,361.44

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Solution

The fourth proportional to 9,302.70, 13,942.16 and 4,361.44 is: 6,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.70 : 13,942.16 = 4,361.44 : x
  2. Step 2: Convert to fraction form
    9,302.70/13,942.16 = 4,361.44/x
  3. Step 3: Cross multiply
    9,302.70x = 13,942.16 × 4,361.44
  4. Step 4: Simplify right side
    9,302.70x = 60,807,894.31
  5. Step 5: Solve for x
    x = 60,807,894.31/9,302.70
  6. Step 6: Final answer
    x = 6,536.59

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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.