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Finding the Fourth Proportional to 8,289.62, 12,434.77 and 2,446.23

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Solution

The fourth proportional to 8,289.62, 12,434.77 and 2,446.23 is: 3,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.62 : 12,434.77 = 2,446.23 : x
  2. Step 2: Convert to fraction form
    8,289.62/12,434.77 = 2,446.23/x
  3. Step 3: Cross multiply
    8,289.62x = 12,434.77 × 2,446.23
  4. Step 4: Simplify right side
    8,289.62x = 30,418,307.42
  5. Step 5: Solve for x
    x = 30,418,307.42/8,289.62
  6. Step 6: Final answer
    x = 3,669.45

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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.