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Finding the Fourth Proportional to 9,660.16, 14,486.24 and 3,418.56

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Solution

The fourth proportional to 9,660.16, 14,486.24 and 3,418.56 is: 5,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.16 : 14,486.24 = 3,418.56 : x
  2. Step 2: Convert to fraction form
    9,660.16/14,486.24 = 3,418.56/x
  3. Step 3: Cross multiply
    9,660.16x = 14,486.24 × 3,418.56
  4. Step 4: Simplify right side
    9,660.16x = 49,522,080.61
  5. Step 5: Solve for x
    x = 49,522,080.61/9,660.16
  6. Step 6: Final answer
    x = 5,126.42

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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.