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Finding the Fourth Proportional to 6,751.31, 9,322.67 and 4,237.78

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Solution

The fourth proportional to 6,751.31, 9,322.67 and 4,237.78 is: 5,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.31 : 9,322.67 = 4,237.78 : x
  2. Step 2: Convert to fraction form
    6,751.31/9,322.67 = 4,237.78/x
  3. Step 3: Cross multiply
    6,751.31x = 9,322.67 × 4,237.78
  4. Step 4: Simplify right side
    6,751.31x = 39,507,424.47
  5. Step 5: Solve for x
    x = 39,507,424.47/6,751.31
  6. Step 6: Final answer
    x = 5,851.82

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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.