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Finding the Fourth Proportional to 9,682.12, 14,499.79 and 5,509.49

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Solution

The fourth proportional to 9,682.12, 14,499.79 and 5,509.49 is: 8,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.12 : 14,499.79 = 5,509.49 : x
  2. Step 2: Convert to fraction form
    9,682.12/14,499.79 = 5,509.49/x
  3. Step 3: Cross multiply
    9,682.12x = 14,499.79 × 5,509.49
  4. Step 4: Simplify right side
    9,682.12x = 79,886,448.01
  5. Step 5: Solve for x
    x = 79,886,448.01/9,682.12
  6. Step 6: Final answer
    x = 8,250.93

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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.