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Finding the Fourth Proportional to 6,194.14, 8,547.35 and 3,675.82

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Solution

The fourth proportional to 6,194.14, 8,547.35 and 3,675.82 is: 5,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.14 : 8,547.35 = 3,675.82 : x
  2. Step 2: Convert to fraction form
    6,194.14/8,547.35 = 3,675.82/x
  3. Step 3: Cross multiply
    6,194.14x = 8,547.35 × 3,675.82
  4. Step 4: Simplify right side
    6,194.14x = 31,418,520.08
  5. Step 5: Solve for x
    x = 31,418,520.08/6,194.14
  6. Step 6: Final answer
    x = 5,072.30

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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.