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Finding the Fourth Proportional to 6,290.56, 9,435.68 and 1,907.84

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Solution

The fourth proportional to 6,290.56, 9,435.68 and 1,907.84 is: 2,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.56 : 9,435.68 = 1,907.84 : x
  2. Step 2: Convert to fraction form
    6,290.56/9,435.68 = 1,907.84/x
  3. Step 3: Cross multiply
    6,290.56x = 9,435.68 × 1,907.84
  4. Step 4: Simplify right side
    6,290.56x = 18,001,767.73
  5. Step 5: Solve for x
    x = 18,001,767.73/6,290.56
  6. Step 6: Final answer
    x = 2,861.71

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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.