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Finding the Fourth Proportional to 6,470.46, 8,929.82 and 3,817.37

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Solution

The fourth proportional to 6,470.46, 8,929.82 and 3,817.37 is: 5,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.46 : 8,929.82 = 3,817.37 : x
  2. Step 2: Convert to fraction form
    6,470.46/8,929.82 = 3,817.37/x
  3. Step 3: Cross multiply
    6,470.46x = 8,929.82 × 3,817.37
  4. Step 4: Simplify right side
    6,470.46x = 34,088,363.24
  5. Step 5: Solve for x
    x = 34,088,363.24/6,470.46
  6. Step 6: Final answer
    x = 5,268.31

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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.