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Finding the Fourth Proportional to 9,510, 14,254.72 and 3,961.85

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Solution

The fourth proportional to 9,510, 14,254.72 and 3,961.85 is: 5,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510 : 14,254.72 = 3,961.85 : x
  2. Step 2: Convert to fraction form
    9,510/14,254.72 = 3,961.85/x
  3. Step 3: Cross multiply
    9,510x = 14,254.72 × 3,961.85
  4. Step 4: Simplify right side
    9,510x = 56,475,062.43
  5. Step 5: Solve for x
    x = 56,475,062.43/9,510
  6. Step 6: Final answer
    x = 5,938.49

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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.