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Finding the Fourth Proportional to 6,313.92, 9,468 and 4,089.12

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Solution

The fourth proportional to 6,313.92, 9,468 and 4,089.12 is: 6,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.92 : 9,468 = 4,089.12 : x
  2. Step 2: Convert to fraction form
    6,313.92/9,468 = 4,089.12/x
  3. Step 3: Cross multiply
    6,313.92x = 9,468 × 4,089.12
  4. Step 4: Simplify right side
    6,313.92x = 38,715,788.16
  5. Step 5: Solve for x
    x = 38,715,788.16/6,313.92
  6. Step 6: Final answer
    x = 6,131.81

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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.