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Finding the Fourth Proportional to 9,812.02, 14,718 and 3,968.56

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Solution

The fourth proportional to 9,812.02, 14,718 and 3,968.56 is: 5,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.02 : 14,718 = 3,968.56 : x
  2. Step 2: Convert to fraction form
    9,812.02/14,718 = 3,968.56/x
  3. Step 3: Cross multiply
    9,812.02x = 14,718 × 3,968.56
  4. Step 4: Simplify right side
    9,812.02x = 58,409,266.08
  5. Step 5: Solve for x
    x = 58,409,266.08/9,812.02
  6. Step 6: Final answer
    x = 5,952.83

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Why These Related Problems?

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