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Finding the Fourth Proportional to 6,548.01, 9,813.26 and 3,211.16

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Solution

The fourth proportional to 6,548.01, 9,813.26 and 3,211.16 is: 4,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.01 : 9,813.26 = 3,211.16 : x
  2. Step 2: Convert to fraction form
    6,548.01/9,813.26 = 3,211.16/x
  3. Step 3: Cross multiply
    6,548.01x = 9,813.26 × 3,211.16
  4. Step 4: Simplify right side
    6,548.01x = 31,511,925.26
  5. Step 5: Solve for x
    x = 31,511,925.26/6,548.01
  6. Step 6: Final answer
    x = 4,812.44

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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.