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Finding the Fourth Proportional to 9,969.44, 14,953.70 and 3,729

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Solution

The fourth proportional to 9,969.44, 14,953.70 and 3,729 is: 5,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.44 : 14,953.70 = 3,729 : x
  2. Step 2: Convert to fraction form
    9,969.44/14,953.70 = 3,729/x
  3. Step 3: Cross multiply
    9,969.44x = 14,953.70 × 3,729
  4. Step 4: Simplify right side
    9,969.44x = 55,762,347.30
  5. Step 5: Solve for x
    x = 55,762,347.30/9,969.44
  6. Step 6: Final answer
    x = 5,593.33

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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.