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Finding the Fourth Proportional to 9,832.56, 14,751.35 and 3,260.58

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Solution

The fourth proportional to 9,832.56, 14,751.35 and 3,260.58 is: 4,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.56 : 14,751.35 = 3,260.58 : x
  2. Step 2: Convert to fraction form
    9,832.56/14,751.35 = 3,260.58/x
  3. Step 3: Cross multiply
    9,832.56x = 14,751.35 × 3,260.58
  4. Step 4: Simplify right side
    9,832.56x = 48,097,956.78
  5. Step 5: Solve for x
    x = 48,097,956.78/9,832.56
  6. Step 6: Final answer
    x = 4,891.70

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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.