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Finding the Fourth Proportional to 6,308.36, 9,449.56 and 3,705

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Solution

The fourth proportional to 6,308.36, 9,449.56 and 3,705 is: 5,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.36 : 9,449.56 = 3,705 : x
  2. Step 2: Convert to fraction form
    6,308.36/9,449.56 = 3,705/x
  3. Step 3: Cross multiply
    6,308.36x = 9,449.56 × 3,705
  4. Step 4: Simplify right side
    6,308.36x = 35,010,619.80
  5. Step 5: Solve for x
    x = 35,010,619.80/6,308.36
  6. Step 6: Final answer
    x = 5,549.88

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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.