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Finding the Fourth Proportional to 9,367.12, 12,924.40 and 5,828.44

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Solution

The fourth proportional to 9,367.12, 12,924.40 and 5,828.44 is: 8,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.12 : 12,924.40 = 5,828.44 : x
  2. Step 2: Convert to fraction form
    9,367.12/12,924.40 = 5,828.44/x
  3. Step 3: Cross multiply
    9,367.12x = 12,924.40 × 5,828.44
  4. Step 4: Simplify right side
    9,367.12x = 75,329,089.94
  5. Step 5: Solve for x
    x = 75,329,089.94/9,367.12
  6. Step 6: Final answer
    x = 8,041.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.