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Finding the Fourth Proportional to 9,367.14, 14,051.52 and 3,820.87

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Solution

The fourth proportional to 9,367.14, 14,051.52 and 3,820.87 is: 5,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.14 : 14,051.52 = 3,820.87 : x
  2. Step 2: Convert to fraction form
    9,367.14/14,051.52 = 3,820.87/x
  3. Step 3: Cross multiply
    9,367.14x = 14,051.52 × 3,820.87
  4. Step 4: Simplify right side
    9,367.14x = 53,689,031.22
  5. Step 5: Solve for x
    x = 53,689,031.22/9,367.14
  6. Step 6: Final answer
    x = 5,731.64

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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.