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Finding the Fourth Proportional to 9,474.23, 13,064.73 and 6,286.40

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Solution

The fourth proportional to 9,474.23, 13,064.73 and 6,286.40 is: 8,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.23 : 13,064.73 = 6,286.40 : x
  2. Step 2: Convert to fraction form
    9,474.23/13,064.73 = 6,286.40/x
  3. Step 3: Cross multiply
    9,474.23x = 13,064.73 × 6,286.40
  4. Step 4: Simplify right side
    9,474.23x = 82,130,127.76
  5. Step 5: Solve for x
    x = 82,130,127.76/9,474.23
  6. Step 6: Final answer
    x = 8,668.80

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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.