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Finding the Fourth Proportional to 6,942.93, 9,571.28 and 4,950.03

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Solution

The fourth proportional to 6,942.93, 9,571.28 and 4,950.03 is: 6,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.93 : 9,571.28 = 4,950.03 : x
  2. Step 2: Convert to fraction form
    6,942.93/9,571.28 = 4,950.03/x
  3. Step 3: Cross multiply
    6,942.93x = 9,571.28 × 4,950.03
  4. Step 4: Simplify right side
    6,942.93x = 47,378,050.53
  5. Step 5: Solve for x
    x = 47,378,050.53/6,942.93
  6. Step 6: Final answer
    x = 6,823.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.