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Finding the Fourth Proportional to 9,674.83, 14,513.69 and 2,749.15

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Solution

The fourth proportional to 9,674.83, 14,513.69 and 2,749.15 is: 4,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.83 : 14,513.69 = 2,749.15 : x
  2. Step 2: Convert to fraction form
    9,674.83/14,513.69 = 2,749.15/x
  3. Step 3: Cross multiply
    9,674.83x = 14,513.69 × 2,749.15
  4. Step 4: Simplify right side
    9,674.83x = 39,900,310.86
  5. Step 5: Solve for x
    x = 39,900,310.86/9,674.83
  6. Step 6: Final answer
    x = 4,124.14

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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.