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Finding the Fourth Proportional to 9,849.82, 14,774.84 and 3,276.00

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Solution

The fourth proportional to 9,849.82, 14,774.84 and 3,276.00 is: 4,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.82 : 14,774.84 = 3,276.00 : x
  2. Step 2: Convert to fraction form
    9,849.82/14,774.84 = 3,276.00/x
  3. Step 3: Cross multiply
    9,849.82x = 14,774.84 × 3,276.00
  4. Step 4: Simplify right side
    9,849.82x = 48,402,375.22
  5. Step 5: Solve for x
    x = 48,402,375.22/9,849.82
  6. Step 6: Final answer
    x = 4,914.04

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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.