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Finding the Fourth Proportional to 6,713.46, 9,266.40 and 4,194.06

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Solution

The fourth proportional to 6,713.46, 9,266.40 and 4,194.06 is: 5,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.46 : 9,266.40 = 4,194.06 : x
  2. Step 2: Convert to fraction form
    6,713.46/9,266.40 = 4,194.06/x
  3. Step 3: Cross multiply
    6,713.46x = 9,266.40 × 4,194.06
  4. Step 4: Simplify right side
    6,713.46x = 38,863,837.58
  5. Step 5: Solve for x
    x = 38,863,837.58/6,713.46
  6. Step 6: Final answer
    x = 5,788.94

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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.