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Finding the Fourth Proportional to 6,282.37, 9,424.77 and 2,389.51

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Solution

The fourth proportional to 6,282.37, 9,424.77 and 2,389.51 is: 3,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.37 : 9,424.77 = 2,389.51 : x
  2. Step 2: Convert to fraction form
    6,282.37/9,424.77 = 2,389.51/x
  3. Step 3: Cross multiply
    6,282.37x = 9,424.77 × 2,389.51
  4. Step 4: Simplify right side
    6,282.37x = 22,520,582.16
  5. Step 5: Solve for x
    x = 22,520,582.16/6,282.37
  6. Step 6: Final answer
    x = 3,584.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.