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Finding the Fourth Proportional to 37,625.94, 56,439 and 9,546

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Solution

The fourth proportional to 37,625.94, 56,439 and 9,546 is: 14,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,625.94 : 56,439 = 9,546 : x
  2. Step 2: Convert to fraction form
    37,625.94/56,439 = 9,546/x
  3. Step 3: Cross multiply
    37,625.94x = 56,439 × 9,546
  4. Step 4: Simplify right side
    37,625.94x = 538,766,694
  5. Step 5: Solve for x
    x = 538,766,694/37,625.94
  6. Step 6: Final answer
    x = 14,319.02

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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.