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Finding the Fourth Proportional to 9,674.40, 14,511.59 and 2,654.49

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Solution

The fourth proportional to 9,674.40, 14,511.59 and 2,654.49 is: 3,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.40 : 14,511.59 = 2,654.49 : x
  2. Step 2: Convert to fraction form
    9,674.40/14,511.59 = 2,654.49/x
  3. Step 3: Cross multiply
    9,674.40x = 14,511.59 × 2,654.49
  4. Step 4: Simplify right side
    9,674.40x = 38,520,820.99
  5. Step 5: Solve for x
    x = 38,520,820.99/9,674.40
  6. Step 6: Final answer
    x = 3,981.73

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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.