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Finding the Fourth Proportional to 6,351.20, 9,537.60 and 4,709.60

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Solution

The fourth proportional to 6,351.20, 9,537.60 and 4,709.60 is: 7,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.20 : 9,537.60 = 4,709.60 : x
  2. Step 2: Convert to fraction form
    6,351.20/9,537.60 = 4,709.60/x
  3. Step 3: Cross multiply
    6,351.20x = 9,537.60 × 4,709.60
  4. Step 4: Simplify right side
    6,351.20x = 44,918,280.96
  5. Step 5: Solve for x
    x = 44,918,280.96/6,351.20
  6. Step 6: Final answer
    x = 7,072.41

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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.