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Finding the Fourth Proportional to 9,835.65, 14,755.10 and 3,260.88

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Solution

The fourth proportional to 9,835.65, 14,755.10 and 3,260.88 is: 4,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.65 : 14,755.10 = 3,260.88 : x
  2. Step 2: Convert to fraction form
    9,835.65/14,755.10 = 3,260.88/x
  3. Step 3: Cross multiply
    9,835.65x = 14,755.10 × 3,260.88
  4. Step 4: Simplify right side
    9,835.65x = 48,114,594.18
  5. Step 5: Solve for x
    x = 48,114,594.18/9,835.65
  6. Step 6: Final answer
    x = 4,891.86

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Why These Related Problems?

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