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Finding the Fourth Proportional to 9,782.37, 14,674.77 and 3,540.51

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Solution

The fourth proportional to 9,782.37, 14,674.77 and 3,540.51 is: 5,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.37 : 14,674.77 = 3,540.51 : x
  2. Step 2: Convert to fraction form
    9,782.37/14,674.77 = 3,540.51/x
  3. Step 3: Cross multiply
    9,782.37x = 14,674.77 × 3,540.51
  4. Step 4: Simplify right side
    9,782.37x = 51,956,169.93
  5. Step 5: Solve for x
    x = 51,956,169.93/9,782.37
  6. Step 6: Final answer
    x = 5,311.20

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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.