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Finding the Fourth Proportional to 9,438.10, 14,158.84 and 3,888.42

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Solution

The fourth proportional to 9,438.10, 14,158.84 and 3,888.42 is: 5,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.10 : 14,158.84 = 3,888.42 : x
  2. Step 2: Convert to fraction form
    9,438.10/14,158.84 = 3,888.42/x
  3. Step 3: Cross multiply
    9,438.10x = 14,158.84 × 3,888.42
  4. Step 4: Simplify right side
    9,438.10x = 55,055,516.63
  5. Step 5: Solve for x
    x = 55,055,516.63/9,438.10
  6. Step 6: Final answer
    x = 5,833.33

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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.