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Finding the Fourth Proportional to 6,470.69, 8,929.31 and 3,817.94

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Solution

The fourth proportional to 6,470.69, 8,929.31 and 3,817.94 is: 5,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.69 : 8,929.31 = 3,817.94 : x
  2. Step 2: Convert to fraction form
    6,470.69/8,929.31 = 3,817.94/x
  3. Step 3: Cross multiply
    6,470.69x = 8,929.31 × 3,817.94
  4. Step 4: Simplify right side
    6,470.69x = 34,091,506.09
  5. Step 5: Solve for x
    x = 34,091,506.09/6,470.69
  6. Step 6: Final answer
    x = 5,268.61

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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.