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Finding the Fourth Proportional to 6,498.64, 8,963.06 and 5,969.16

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Solution

The fourth proportional to 6,498.64, 8,963.06 and 5,969.16 is: 8,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.64 : 8,963.06 = 5,969.16 : x
  2. Step 2: Convert to fraction form
    6,498.64/8,963.06 = 5,969.16/x
  3. Step 3: Cross multiply
    6,498.64x = 8,963.06 × 5,969.16
  4. Step 4: Simplify right side
    6,498.64x = 53,501,939.23
  5. Step 5: Solve for x
    x = 53,501,939.23/6,498.64
  6. Step 6: Final answer
    x = 8,232.79

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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.