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Finding the Fourth Proportional to 6,468.26, 9,702.45 and 5,177.93

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Solution

The fourth proportional to 6,468.26, 9,702.45 and 5,177.93 is: 7,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.26 : 9,702.45 = 5,177.93 : x
  2. Step 2: Convert to fraction form
    6,468.26/9,702.45 = 5,177.93/x
  3. Step 3: Cross multiply
    6,468.26x = 9,702.45 × 5,177.93
  4. Step 4: Simplify right side
    6,468.26x = 50,238,558.42
  5. Step 5: Solve for x
    x = 50,238,558.42/6,468.26
  6. Step 6: Final answer
    x = 7,766.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.