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Finding the Fourth Proportional to 6,642.36, 9,958.68 and 2,258.64

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Solution

The fourth proportional to 6,642.36, 9,958.68 and 2,258.64 is: 3,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.36 : 9,958.68 = 2,258.64 : x
  2. Step 2: Convert to fraction form
    6,642.36/9,958.68 = 2,258.64/x
  3. Step 3: Cross multiply
    6,642.36x = 9,958.68 × 2,258.64
  4. Step 4: Simplify right side
    6,642.36x = 22,493,073.00
  5. Step 5: Solve for x
    x = 22,493,073.00/6,642.36
  6. Step 6: Final answer
    x = 3,386.31

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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.