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Finding the Fourth Proportional to 6,466.36, 8,911.06 and 4,600.12

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Solution

The fourth proportional to 6,466.36, 8,911.06 and 4,600.12 is: 6,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.36 : 8,911.06 = 4,600.12 : x
  2. Step 2: Convert to fraction form
    6,466.36/8,911.06 = 4,600.12/x
  3. Step 3: Cross multiply
    6,466.36x = 8,911.06 × 4,600.12
  4. Step 4: Simplify right side
    6,466.36x = 40,991,945.33
  5. Step 5: Solve for x
    x = 40,991,945.33/6,466.36
  6. Step 6: Final answer
    x = 6,339.26

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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.