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Finding the Fourth Proportional to 6,396, 9,583.08 and 4,537.92

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Solution

The fourth proportional to 6,396, 9,583.08 and 4,537.92 is: 6,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396 : 9,583.08 = 4,537.92 : x
  2. Step 2: Convert to fraction form
    6,396/9,583.08 = 4,537.92/x
  3. Step 3: Cross multiply
    6,396x = 9,583.08 × 4,537.92
  4. Step 4: Simplify right side
    6,396x = 43,487,250.39
  5. Step 5: Solve for x
    x = 43,487,250.39/6,396
  6. Step 6: Final answer
    x = 6,799.13

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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.