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Finding the Fourth Proportional to 6,470.90, 9,704.83 and 2,774.87

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Solution

The fourth proportional to 6,470.90, 9,704.83 and 2,774.87 is: 4,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.90 : 9,704.83 = 2,774.87 : x
  2. Step 2: Convert to fraction form
    6,470.90/9,704.83 = 2,774.87/x
  3. Step 3: Cross multiply
    6,470.90x = 9,704.83 × 2,774.87
  4. Step 4: Simplify right side
    6,470.90x = 26,929,641.62
  5. Step 5: Solve for x
    x = 26,929,641.62/6,470.90
  6. Step 6: Final answer
    x = 4,161.65

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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.