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Finding the Fourth Proportional to 6,470.44, 9,708.09 and 3,875.20

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Solution

The fourth proportional to 6,470.44, 9,708.09 and 3,875.20 is: 5,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.44 : 9,708.09 = 3,875.20 : x
  2. Step 2: Convert to fraction form
    6,470.44/9,708.09 = 3,875.20/x
  3. Step 3: Cross multiply
    6,470.44x = 9,708.09 × 3,875.20
  4. Step 4: Simplify right side
    6,470.44x = 37,620,790.37
  5. Step 5: Solve for x
    x = 37,620,790.37/6,470.44
  6. Step 6: Final answer
    x = 5,814.26

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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.