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Finding the Fourth Proportional to 6,658.26, 9,188.37 and 3,825.81

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Solution

The fourth proportional to 6,658.26, 9,188.37 and 3,825.81 is: 5,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.26 : 9,188.37 = 3,825.81 : x
  2. Step 2: Convert to fraction form
    6,658.26/9,188.37 = 3,825.81/x
  3. Step 3: Cross multiply
    6,658.26x = 9,188.37 × 3,825.81
  4. Step 4: Simplify right side
    6,658.26x = 35,152,957.83
  5. Step 5: Solve for x
    x = 35,152,957.83/6,658.26
  6. Step 6: Final answer
    x = 5,279.60

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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.