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Finding the Fourth Proportional to 7,197.65, 9,860.81 and 6,927.99

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Solution

The fourth proportional to 7,197.65, 9,860.81 and 6,927.99 is: 9,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.65 : 9,860.81 = 6,927.99 : x
  2. Step 2: Convert to fraction form
    7,197.65/9,860.81 = 6,927.99/x
  3. Step 3: Cross multiply
    7,197.65x = 9,860.81 × 6,927.99
  4. Step 4: Simplify right side
    7,197.65x = 68,315,593.07
  5. Step 5: Solve for x
    x = 68,315,593.07/7,197.65
  6. Step 6: Final answer
    x = 9,491.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.