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Finding the Fourth Proportional to 9,876.49, 14,815.49 and 3,302.69

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Solution

The fourth proportional to 9,876.49, 14,815.49 and 3,302.69 is: 4,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.49 : 14,815.49 = 3,302.69 : x
  2. Step 2: Convert to fraction form
    9,876.49/14,815.49 = 3,302.69/x
  3. Step 3: Cross multiply
    9,876.49x = 14,815.49 × 3,302.69
  4. Step 4: Simplify right side
    9,876.49x = 48,930,880.08
  5. Step 5: Solve for x
    x = 48,930,880.08/9,876.49
  6. Step 6: Final answer
    x = 4,954.28

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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.