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Finding the Fourth Proportional to 9,336.50, 14,005.02 and 2,411

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Solution

The fourth proportional to 9,336.50, 14,005.02 and 2,411 is: 3,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.50 : 14,005.02 = 2,411 : x
  2. Step 2: Convert to fraction form
    9,336.50/14,005.02 = 2,411/x
  3. Step 3: Cross multiply
    9,336.50x = 14,005.02 × 2,411
  4. Step 4: Simplify right side
    9,336.50x = 33,766,103.22
  5. Step 5: Solve for x
    x = 33,766,103.22/9,336.50
  6. Step 6: Final answer
    x = 3,616.57

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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.