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Finding the Fourth Proportional to 7,025.99, 9,642.33 and 6,361.38

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Solution

The fourth proportional to 7,025.99, 9,642.33 and 6,361.38 is: 8,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.99 : 9,642.33 = 6,361.38 : x
  2. Step 2: Convert to fraction form
    7,025.99/9,642.33 = 6,361.38/x
  3. Step 3: Cross multiply
    7,025.99x = 9,642.33 × 6,361.38
  4. Step 4: Simplify right side
    7,025.99x = 61,338,525.22
  5. Step 5: Solve for x
    x = 61,338,525.22/7,025.99
  6. Step 6: Final answer
    x = 8,730.24

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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.