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Finding the Fourth Proportional to 6,476.63, 8,938.15 and 3,682.13

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Solution

The fourth proportional to 6,476.63, 8,938.15 and 3,682.13 is: 5,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.63 : 8,938.15 = 3,682.13 : x
  2. Step 2: Convert to fraction form
    6,476.63/8,938.15 = 3,682.13/x
  3. Step 3: Cross multiply
    6,476.63x = 8,938.15 × 3,682.13
  4. Step 4: Simplify right side
    6,476.63x = 32,911,376.36
  5. Step 5: Solve for x
    x = 32,911,376.36/6,476.63
  6. Step 6: Final answer
    x = 5,081.56

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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.