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Finding the Fourth Proportional to 12,627.65, 17,426.29 and 6,962.41

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Solution

The fourth proportional to 12,627.65, 17,426.29 and 6,962.41 is: 9,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.65 : 17,426.29 = 6,962.41 : x
  2. Step 2: Convert to fraction form
    12,627.65/17,426.29 = 6,962.41/x
  3. Step 3: Cross multiply
    12,627.65x = 17,426.29 × 6,962.41
  4. Step 4: Simplify right side
    12,627.65x = 121,328,895.17
  5. Step 5: Solve for x
    x = 121,328,895.17/12,627.65
  6. Step 6: Final answer
    x = 9,608.20

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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.