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Finding the Fourth Proportional to 9,446.24, 14,169.72 and 4,823.84

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Solution

The fourth proportional to 9,446.24, 14,169.72 and 4,823.84 is: 7,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.24 : 14,169.72 = 4,823.84 : x
  2. Step 2: Convert to fraction form
    9,446.24/14,169.72 = 4,823.84/x
  3. Step 3: Cross multiply
    9,446.24x = 14,169.72 × 4,823.84
  4. Step 4: Simplify right side
    9,446.24x = 68,352,462.12
  5. Step 5: Solve for x
    x = 68,352,462.12/9,446.24
  6. Step 6: Final answer
    x = 7,235.94

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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.