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Finding the Fourth Proportional to 9,795.69, 14,687.01 and 5,054.80

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Solution

The fourth proportional to 9,795.69, 14,687.01 and 5,054.80 is: 7,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.69 : 14,687.01 = 5,054.80 : x
  2. Step 2: Convert to fraction form
    9,795.69/14,687.01 = 5,054.80/x
  3. Step 3: Cross multiply
    9,795.69x = 14,687.01 × 5,054.80
  4. Step 4: Simplify right side
    9,795.69x = 74,239,898.15
  5. Step 5: Solve for x
    x = 74,239,898.15/9,795.69
  6. Step 6: Final answer
    x = 7,578.83

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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.