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Finding the Fourth Proportional to 9,962.67, 14,945.82 and 4,119.72

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Solution

The fourth proportional to 9,962.67, 14,945.82 and 4,119.72 is: 6,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.67 : 14,945.82 = 4,119.72 : x
  2. Step 2: Convert to fraction form
    9,962.67/14,945.82 = 4,119.72/x
  3. Step 3: Cross multiply
    9,962.67x = 14,945.82 × 4,119.72
  4. Step 4: Simplify right side
    9,962.67x = 61,572,593.57
  5. Step 5: Solve for x
    x = 61,572,593.57/9,962.67
  6. Step 6: Final answer
    x = 6,180.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.