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Finding the Fourth Proportional to 9,676.11, 14,520.65 and 3,435.87

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Solution

The fourth proportional to 9,676.11, 14,520.65 and 3,435.87 is: 5,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.11 : 14,520.65 = 3,435.87 : x
  2. Step 2: Convert to fraction form
    9,676.11/14,520.65 = 3,435.87/x
  3. Step 3: Cross multiply
    9,676.11x = 14,520.65 × 3,435.87
  4. Step 4: Simplify right side
    9,676.11x = 49,891,048.54
  5. Step 5: Solve for x
    x = 49,891,048.54/9,676.11
  6. Step 6: Final answer
    x = 5,156.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.