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Finding the Fourth Proportional to 9,673.98, 14,513.81 and 3,100.02

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Solution

The fourth proportional to 9,673.98, 14,513.81 and 3,100.02 is: 4,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.98 : 14,513.81 = 3,100.02 : x
  2. Step 2: Convert to fraction form
    9,673.98/14,513.81 = 3,100.02/x
  3. Step 3: Cross multiply
    9,673.98x = 14,513.81 × 3,100.02
  4. Step 4: Simplify right side
    9,673.98x = 44,993,085.78
  5. Step 5: Solve for x
    x = 44,993,085.78/9,673.98
  6. Step 6: Final answer
    x = 4,650.94

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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.