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Finding the Fourth Proportional to 9,754.12, 14,631.60 and 3,832.29

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Solution

The fourth proportional to 9,754.12, 14,631.60 and 3,832.29 is: 5,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.12 : 14,631.60 = 3,832.29 : x
  2. Step 2: Convert to fraction form
    9,754.12/14,631.60 = 3,832.29/x
  3. Step 3: Cross multiply
    9,754.12x = 14,631.60 × 3,832.29
  4. Step 4: Simplify right side
    9,754.12x = 56,072,534.36
  5. Step 5: Solve for x
    x = 56,072,534.36/9,754.12
  6. Step 6: Final answer
    x = 5,748.60

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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.