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Finding the Fourth Proportional to 9,840.65, 14,756.62 and 2,819.07

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Solution

The fourth proportional to 9,840.65, 14,756.62 and 2,819.07 is: 4,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.65 : 14,756.62 = 2,819.07 : x
  2. Step 2: Convert to fraction form
    9,840.65/14,756.62 = 2,819.07/x
  3. Step 3: Cross multiply
    9,840.65x = 14,756.62 × 2,819.07
  4. Step 4: Simplify right side
    9,840.65x = 41,599,944.74
  5. Step 5: Solve for x
    x = 41,599,944.74/9,840.65
  6. Step 6: Final answer
    x = 4,227.36

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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.