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Finding the Fourth Proportional to 6,164.88, 9,251.28 and 2,470.56

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Solution

The fourth proportional to 6,164.88, 9,251.28 and 2,470.56 is: 3,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.88 : 9,251.28 = 2,470.56 : x
  2. Step 2: Convert to fraction form
    6,164.88/9,251.28 = 2,470.56/x
  3. Step 3: Cross multiply
    6,164.88x = 9,251.28 × 2,470.56
  4. Step 4: Simplify right side
    6,164.88x = 22,855,842.32
  5. Step 5: Solve for x
    x = 22,855,842.32/6,164.88
  6. Step 6: Final answer
    x = 3,707.43

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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.