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Finding the Fourth Proportional to 6,747.36, 9,312 and 4,094.16

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Solution

The fourth proportional to 6,747.36, 9,312 and 4,094.16 is: 5,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.36 : 9,312 = 4,094.16 : x
  2. Step 2: Convert to fraction form
    6,747.36/9,312 = 4,094.16/x
  3. Step 3: Cross multiply
    6,747.36x = 9,312 × 4,094.16
  4. Step 4: Simplify right side
    6,747.36x = 38,124,817.92
  5. Step 5: Solve for x
    x = 38,124,817.92/6,747.36
  6. Step 6: Final answer
    x = 5,650.33

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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.