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Finding the Fourth Proportional to 6,309.68, 9,462 and 3,020.36

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Solution

The fourth proportional to 6,309.68, 9,462 and 3,020.36 is: 4,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.68 : 9,462 = 3,020.36 : x
  2. Step 2: Convert to fraction form
    6,309.68/9,462 = 3,020.36/x
  3. Step 3: Cross multiply
    6,309.68x = 9,462 × 3,020.36
  4. Step 4: Simplify right side
    6,309.68x = 28,578,646.32
  5. Step 5: Solve for x
    x = 28,578,646.32/6,309.68
  6. Step 6: Final answer
    x = 4,529.33

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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.