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Finding the Fourth Proportional to 6,852.47, 9,453.86 and 5,064.26

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Solution

The fourth proportional to 6,852.47, 9,453.86 and 5,064.26 is: 6,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.47 : 9,453.86 = 5,064.26 : x
  2. Step 2: Convert to fraction form
    6,852.47/9,453.86 = 5,064.26/x
  3. Step 3: Cross multiply
    6,852.47x = 9,453.86 × 5,064.26
  4. Step 4: Simplify right side
    6,852.47x = 47,876,751.44
  5. Step 5: Solve for x
    x = 47,876,751.44/6,852.47
  6. Step 6: Final answer
    x = 6,986.79

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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.