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Finding the Fourth Proportional to 9,823.62, 14,738.04 and 4,278.12

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Solution

The fourth proportional to 9,823.62, 14,738.04 and 4,278.12 is: 6,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.62 : 14,738.04 = 4,278.12 : x
  2. Step 2: Convert to fraction form
    9,823.62/14,738.04 = 4,278.12/x
  3. Step 3: Cross multiply
    9,823.62x = 14,738.04 × 4,278.12
  4. Step 4: Simplify right side
    9,823.62x = 63,051,103.68
  5. Step 5: Solve for x
    x = 63,051,103.68/9,823.62
  6. Step 6: Final answer
    x = 6,418.32

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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.