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Finding the Fourth Proportional to 8,729.46, 13,094.01 and 3,463.65

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Solution

The fourth proportional to 8,729.46, 13,094.01 and 3,463.65 is: 5,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.46 : 13,094.01 = 3,463.65 : x
  2. Step 2: Convert to fraction form
    8,729.46/13,094.01 = 3,463.65/x
  3. Step 3: Cross multiply
    8,729.46x = 13,094.01 × 3,463.65
  4. Step 4: Simplify right side
    8,729.46x = 45,353,067.74
  5. Step 5: Solve for x
    x = 45,353,067.74/8,729.46
  6. Step 6: Final answer
    x = 5,195.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.