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Finding the Fourth Proportional to 6,535.26, 9,784.20 and 6,121.44

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Solution

The fourth proportional to 6,535.26, 9,784.20 and 6,121.44 is: 9,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.26 : 9,784.20 = 6,121.44 : x
  2. Step 2: Convert to fraction form
    6,535.26/9,784.20 = 6,121.44/x
  3. Step 3: Cross multiply
    6,535.26x = 9,784.20 × 6,121.44
  4. Step 4: Simplify right side
    6,535.26x = 59,893,393.25
  5. Step 5: Solve for x
    x = 59,893,393.25/6,535.26
  6. Step 6: Final answer
    x = 9,164.65

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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.