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Finding the Fourth Proportional to 9,759.65, 14,642.78 and 3,097.26

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Solution

The fourth proportional to 9,759.65, 14,642.78 and 3,097.26 is: 4,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.65 : 14,642.78 = 3,097.26 : x
  2. Step 2: Convert to fraction form
    9,759.65/14,642.78 = 3,097.26/x
  3. Step 3: Cross multiply
    9,759.65x = 14,642.78 × 3,097.26
  4. Step 4: Simplify right side
    9,759.65x = 45,352,481.30
  5. Step 5: Solve for x
    x = 45,352,481.30/9,759.65
  6. Step 6: Final answer
    x = 4,646.94

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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.