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Finding the Fourth Proportional to 9,984.44, 14,978.48 and 4,141.51

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Solution

The fourth proportional to 9,984.44, 14,978.48 and 4,141.51 is: 6,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.44 : 14,978.48 = 4,141.51 : x
  2. Step 2: Convert to fraction form
    9,984.44/14,978.48 = 4,141.51/x
  3. Step 3: Cross multiply
    9,984.44x = 14,978.48 × 4,141.51
  4. Step 4: Simplify right side
    9,984.44x = 62,033,524.70
  5. Step 5: Solve for x
    x = 62,033,524.70/9,984.44
  6. Step 6: Final answer
    x = 6,213.02

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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.