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Finding the Fourth Proportional to 8,969.40, 13,438.44 and 5,844.42

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Solution

The fourth proportional to 8,969.40, 13,438.44 and 5,844.42 is: 8,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.40 : 13,438.44 = 5,844.42 : x
  2. Step 2: Convert to fraction form
    8,969.40/13,438.44 = 5,844.42/x
  3. Step 3: Cross multiply
    8,969.40x = 13,438.44 × 5,844.42
  4. Step 4: Simplify right side
    8,969.40x = 78,539,887.50
  5. Step 5: Solve for x
    x = 78,539,887.50/8,969.40
  6. Step 6: Final answer
    x = 8,756.43

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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.