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Finding the Fourth Proportional to 12,640.46, 17,443.69 and 6,975.25

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Solution

The fourth proportional to 12,640.46, 17,443.69 and 6,975.25 is: 9,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.46 : 17,443.69 = 6,975.25 : x
  2. Step 2: Convert to fraction form
    12,640.46/17,443.69 = 6,975.25/x
  3. Step 3: Cross multiply
    12,640.46x = 17,443.69 × 6,975.25
  4. Step 4: Simplify right side
    12,640.46x = 121,674,037.63
  5. Step 5: Solve for x
    x = 121,674,037.63/12,640.46
  6. Step 6: Final answer
    x = 9,625.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.