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Finding the Fourth Proportional to 6,238.65, 9,354.72 and 5,528.07

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Solution

The fourth proportional to 6,238.65, 9,354.72 and 5,528.07 is: 8,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.65 : 9,354.72 = 5,528.07 : x
  2. Step 2: Convert to fraction form
    6,238.65/9,354.72 = 5,528.07/x
  3. Step 3: Cross multiply
    6,238.65x = 9,354.72 × 5,528.07
  4. Step 4: Simplify right side
    6,238.65x = 51,713,546.99
  5. Step 5: Solve for x
    x = 51,713,546.99/6,238.65
  6. Step 6: Final answer
    x = 8,289.22

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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.