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Finding the Fourth Proportional to 6,159.14, 9,239.52 and 2,266.28

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Solution

The fourth proportional to 6,159.14, 9,239.52 and 2,266.28 is: 3,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.14 : 9,239.52 = 2,266.28 : x
  2. Step 2: Convert to fraction form
    6,159.14/9,239.52 = 2,266.28/x
  3. Step 3: Cross multiply
    6,159.14x = 9,239.52 × 2,266.28
  4. Step 4: Simplify right side
    6,159.14x = 20,939,339.39
  5. Step 5: Solve for x
    x = 20,939,339.39/6,159.14
  6. Step 6: Final answer
    x = 3,399.72

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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.