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Finding the Fourth Proportional to 6,747.36, 9,312 and 4,094.88

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Solution

The fourth proportional to 6,747.36, 9,312 and 4,094.88 is: 5,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.36 : 9,312 = 4,094.88 : x
  2. Step 2: Convert to fraction form
    6,747.36/9,312 = 4,094.88/x
  3. Step 3: Cross multiply
    6,747.36x = 9,312 × 4,094.88
  4. Step 4: Simplify right side
    6,747.36x = 38,131,522.56
  5. Step 5: Solve for x
    x = 38,131,522.56/6,747.36
  6. Step 6: Final answer
    x = 5,651.32

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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.