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Finding the Fourth Proportional to 6,202.41, 9,301.19 and 2,305.59

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Solution

The fourth proportional to 6,202.41, 9,301.19 and 2,305.59 is: 3,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.41 : 9,301.19 = 2,305.59 : x
  2. Step 2: Convert to fraction form
    6,202.41/9,301.19 = 2,305.59/x
  3. Step 3: Cross multiply
    6,202.41x = 9,301.19 × 2,305.59
  4. Step 4: Simplify right side
    6,202.41x = 21,444,719.12
  5. Step 5: Solve for x
    x = 21,444,719.12/6,202.41
  6. Step 6: Final answer
    x = 3,457.48

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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.