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Finding the Fourth Proportional to 9,367.56, 14,051.34 and 3,126.42

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Solution

The fourth proportional to 9,367.56, 14,051.34 and 3,126.42 is: 4,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.56 : 14,051.34 = 3,126.42 : x
  2. Step 2: Convert to fraction form
    9,367.56/14,051.34 = 3,126.42/x
  3. Step 3: Cross multiply
    9,367.56x = 14,051.34 × 3,126.42
  4. Step 4: Simplify right side
    9,367.56x = 43,930,390.40
  5. Step 5: Solve for x
    x = 43,930,390.40/9,367.56
  6. Step 6: Final answer
    x = 4,689.63

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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.