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Finding the Fourth Proportional to 6,743.42, 9,307.41 and 4,381.46

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Solution

The fourth proportional to 6,743.42, 9,307.41 and 4,381.46 is: 6,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.42 : 9,307.41 = 4,381.46 : x
  2. Step 2: Convert to fraction form
    6,743.42/9,307.41 = 4,381.46/x
  3. Step 3: Cross multiply
    6,743.42x = 9,307.41 × 4,381.46
  4. Step 4: Simplify right side
    6,743.42x = 40,780,044.62
  5. Step 5: Solve for x
    x = 40,780,044.62/6,743.42
  6. Step 6: Final answer
    x = 6,047.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.