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Finding the Fourth Proportional to 6,147.68, 9,222.80 and 2,252.40

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Solution

The fourth proportional to 6,147.68, 9,222.80 and 2,252.40 is: 3,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.68 : 9,222.80 = 2,252.40 : x
  2. Step 2: Convert to fraction form
    6,147.68/9,222.80 = 2,252.40/x
  3. Step 3: Cross multiply
    6,147.68x = 9,222.80 × 2,252.40
  4. Step 4: Simplify right side
    6,147.68x = 20,773,434.72
  5. Step 5: Solve for x
    x = 20,773,434.72/6,147.68
  6. Step 6: Final answer
    x = 3,379.07

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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.