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Finding the Fourth Proportional to 9,539, 14,310.68 and 3,383

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Solution

The fourth proportional to 9,539, 14,310.68 and 3,383 is: 5,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539 : 14,310.68 = 3,383 : x
  2. Step 2: Convert to fraction form
    9,539/14,310.68 = 3,383/x
  3. Step 3: Cross multiply
    9,539x = 14,310.68 × 3,383
  4. Step 4: Simplify right side
    9,539x = 48,413,030.44
  5. Step 5: Solve for x
    x = 48,413,030.44/9,539
  6. Step 6: Final answer
    x = 5,075.27

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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.