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Finding the Fourth Proportional to 9,873.29, 14,810.86 and 3,633.42

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Solution

The fourth proportional to 9,873.29, 14,810.86 and 3,633.42 is: 5,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.29 : 14,810.86 = 3,633.42 : x
  2. Step 2: Convert to fraction form
    9,873.29/14,810.86 = 3,633.42/x
  3. Step 3: Cross multiply
    9,873.29x = 14,810.86 × 3,633.42
  4. Step 4: Simplify right side
    9,873.29x = 53,813,982.72
  5. Step 5: Solve for x
    x = 53,813,982.72/9,873.29
  6. Step 6: Final answer
    x = 5,450.46

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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.