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Finding the Fourth Proportional to 9,506.50, 14,265.69 and 4,576.66

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Solution

The fourth proportional to 9,506.50, 14,265.69 and 4,576.66 is: 6,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.50 : 14,265.69 = 4,576.66 : x
  2. Step 2: Convert to fraction form
    9,506.50/14,265.69 = 4,576.66/x
  3. Step 3: Cross multiply
    9,506.50x = 14,265.69 × 4,576.66
  4. Step 4: Simplify right side
    9,506.50x = 65,289,212.80
  5. Step 5: Solve for x
    x = 65,289,212.80/9,506.50
  6. Step 6: Final answer
    x = 6,867.85

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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.