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Finding the Fourth Proportional to 6,308, 9,456.97 and 4,089.09

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Solution

The fourth proportional to 6,308, 9,456.97 and 4,089.09 is: 6,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308 : 9,456.97 = 4,089.09 : x
  2. Step 2: Convert to fraction form
    6,308/9,456.97 = 4,089.09/x
  3. Step 3: Cross multiply
    6,308x = 9,456.97 × 4,089.09
  4. Step 4: Simplify right side
    6,308x = 38,670,401.46
  5. Step 5: Solve for x
    x = 38,670,401.46/6,308
  6. Step 6: Final answer
    x = 6,130.37

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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.