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Finding the Fourth Proportional to 6,892.09, 9,509.50 and 3,907.59

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Solution

The fourth proportional to 6,892.09, 9,509.50 and 3,907.59 is: 5,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.09 : 9,509.50 = 3,907.59 : x
  2. Step 2: Convert to fraction form
    6,892.09/9,509.50 = 3,907.59/x
  3. Step 3: Cross multiply
    6,892.09x = 9,509.50 × 3,907.59
  4. Step 4: Simplify right side
    6,892.09x = 37,159,249.82
  5. Step 5: Solve for x
    x = 37,159,249.82/6,892.09
  6. Step 6: Final answer
    x = 5,391.58

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