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Finding the Fourth Proportional to 9,438.22, 14,149.23 and 5,274.82

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Solution

The fourth proportional to 9,438.22, 14,149.23 and 5,274.82 is: 7,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.22 : 14,149.23 = 5,274.82 : x
  2. Step 2: Convert to fraction form
    9,438.22/14,149.23 = 5,274.82/x
  3. Step 3: Cross multiply
    9,438.22x = 14,149.23 × 5,274.82
  4. Step 4: Simplify right side
    9,438.22x = 74,634,606.02
  5. Step 5: Solve for x
    x = 74,634,606.02/9,438.22
  6. Step 6: Final answer
    x = 7,907.70

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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.