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Finding the Fourth Proportional to 6,476.13, 8,936.65 and 3,643.16

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Solution

The fourth proportional to 6,476.13, 8,936.65 and 3,643.16 is: 5,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.13 : 8,936.65 = 3,643.16 : x
  2. Step 2: Convert to fraction form
    6,476.13/8,936.65 = 3,643.16/x
  3. Step 3: Cross multiply
    6,476.13x = 8,936.65 × 3,643.16
  4. Step 4: Simplify right side
    6,476.13x = 32,557,592.02
  5. Step 5: Solve for x
    x = 32,557,592.02/6,476.13
  6. Step 6: Final answer
    x = 5,027.32

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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.