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Finding the Fourth Proportional to 9,753.16, 14,629.72 and 3,179.34

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Solution

The fourth proportional to 9,753.16, 14,629.72 and 3,179.34 is: 4,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.16 : 14,629.72 = 3,179.34 : x
  2. Step 2: Convert to fraction form
    9,753.16/14,629.72 = 3,179.34/x
  3. Step 3: Cross multiply
    9,753.16x = 14,629.72 × 3,179.34
  4. Step 4: Simplify right side
    9,753.16x = 46,512,853.98
  5. Step 5: Solve for x
    x = 46,512,853.98/9,753.16
  6. Step 6: Final answer
    x = 4,769.00

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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.