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Finding the Fourth Proportional to 6,476.84, 8,936.67 and 4,118.12

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Solution

The fourth proportional to 6,476.84, 8,936.67 and 4,118.12 is: 5,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.84 : 8,936.67 = 4,118.12 : x
  2. Step 2: Convert to fraction form
    6,476.84/8,936.67 = 4,118.12/x
  3. Step 3: Cross multiply
    6,476.84x = 8,936.67 × 4,118.12
  4. Step 4: Simplify right side
    6,476.84x = 36,802,279.46
  5. Step 5: Solve for x
    x = 36,802,279.46/6,476.84
  6. Step 6: Final answer
    x = 5,682.14

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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.