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Finding the Fourth Proportional to 9,458.94, 14,189.23 and 2,438.90

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Solution

The fourth proportional to 9,458.94, 14,189.23 and 2,438.90 is: 3,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.94 : 14,189.23 = 2,438.90 : x
  2. Step 2: Convert to fraction form
    9,458.94/14,189.23 = 2,438.90/x
  3. Step 3: Cross multiply
    9,458.94x = 14,189.23 × 2,438.90
  4. Step 4: Simplify right side
    9,458.94x = 34,606,045.15
  5. Step 5: Solve for x
    x = 34,606,045.15/9,458.94
  6. Step 6: Final answer
    x = 3,658.55

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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.