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Finding the Fourth Proportional to 6,427.36, 9,633.10 and 3,656.32

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Solution

The fourth proportional to 6,427.36, 9,633.10 and 3,656.32 is: 5,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.36 : 9,633.10 = 3,656.32 : x
  2. Step 2: Convert to fraction form
    6,427.36/9,633.10 = 3,656.32/x
  3. Step 3: Cross multiply
    6,427.36x = 9,633.10 × 3,656.32
  4. Step 4: Simplify right side
    6,427.36x = 35,221,696.19
  5. Step 5: Solve for x
    x = 35,221,696.19/6,427.36
  6. Step 6: Final answer
    x = 5,479.96

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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.