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Finding the Fourth Proportional to 6,465.63, 8,917.16 and 3,977.31

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Solution

The fourth proportional to 6,465.63, 8,917.16 and 3,977.31 is: 5,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.63 : 8,917.16 = 3,977.31 : x
  2. Step 2: Convert to fraction form
    6,465.63/8,917.16 = 3,977.31/x
  3. Step 3: Cross multiply
    6,465.63x = 8,917.16 × 3,977.31
  4. Step 4: Simplify right side
    6,465.63x = 35,466,289.75
  5. Step 5: Solve for x
    x = 35,466,289.75/6,465.63
  6. Step 6: Final answer
    x = 5,485.36

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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.