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Finding the Fourth Proportional to 9,844, 14,768.43 and 2,918.50

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Solution

The fourth proportional to 9,844, 14,768.43 and 2,918.50 is: 4,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844 : 14,768.43 = 2,918.50 : x
  2. Step 2: Convert to fraction form
    9,844/14,768.43 = 2,918.50/x
  3. Step 3: Cross multiply
    9,844x = 14,768.43 × 2,918.50
  4. Step 4: Simplify right side
    9,844x = 43,101,662.96
  5. Step 5: Solve for x
    x = 43,101,662.96/9,844
  6. Step 6: Final answer
    x = 4,378.47

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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.