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Finding the Fourth Proportional to 6,930.76, 9,564.42 and 3,787

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Solution

The fourth proportional to 6,930.76, 9,564.42 and 3,787 is: 5,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.76 : 9,564.42 = 3,787 : x
  2. Step 2: Convert to fraction form
    6,930.76/9,564.42 = 3,787/x
  3. Step 3: Cross multiply
    6,930.76x = 9,564.42 × 3,787
  4. Step 4: Simplify right side
    6,930.76x = 36,220,458.54
  5. Step 5: Solve for x
    x = 36,220,458.54/6,930.76
  6. Step 6: Final answer
    x = 5,226.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.