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Finding the Fourth Proportional to 6,407.36, 8,841.44 and 3,612.32

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Solution

The fourth proportional to 6,407.36, 8,841.44 and 3,612.32 is: 4,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.36 : 8,841.44 = 3,612.32 : x
  2. Step 2: Convert to fraction form
    6,407.36/8,841.44 = 3,612.32/x
  3. Step 3: Cross multiply
    6,407.36x = 8,841.44 × 3,612.32
  4. Step 4: Simplify right side
    6,407.36x = 31,938,110.54
  5. Step 5: Solve for x
    x = 31,938,110.54/6,407.36
  6. Step 6: Final answer
    x = 4,984.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.