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Finding the Fourth Proportional to 9,822.42, 14,724.03 and 3,244.23

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Solution

The fourth proportional to 9,822.42, 14,724.03 and 3,244.23 is: 4,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.42 : 14,724.03 = 3,244.23 : x
  2. Step 2: Convert to fraction form
    9,822.42/14,724.03 = 3,244.23/x
  3. Step 3: Cross multiply
    9,822.42x = 14,724.03 × 3,244.23
  4. Step 4: Simplify right side
    9,822.42x = 47,768,139.85
  5. Step 5: Solve for x
    x = 47,768,139.85/9,822.42
  6. Step 6: Final answer
    x = 4,863.17

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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.