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Finding the Fourth Proportional to 9,842.76, 14,750.31 and 5,388.99

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Solution

The fourth proportional to 9,842.76, 14,750.31 and 5,388.99 is: 8,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.76 : 14,750.31 = 5,388.99 : x
  2. Step 2: Convert to fraction form
    9,842.76/14,750.31 = 5,388.99/x
  3. Step 3: Cross multiply
    9,842.76x = 14,750.31 × 5,388.99
  4. Step 4: Simplify right side
    9,842.76x = 79,489,273.09
  5. Step 5: Solve for x
    x = 79,489,273.09/9,842.76
  6. Step 6: Final answer
    x = 8,075.91

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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.