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Finding the Fourth Proportional to 8,749.39, 13,122.14 and 2,509.37

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Solution

The fourth proportional to 8,749.39, 13,122.14 and 2,509.37 is: 3,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.39 : 13,122.14 = 2,509.37 : x
  2. Step 2: Convert to fraction form
    8,749.39/13,122.14 = 2,509.37/x
  3. Step 3: Cross multiply
    8,749.39x = 13,122.14 × 2,509.37
  4. Step 4: Simplify right side
    8,749.39x = 32,928,304.45
  5. Step 5: Solve for x
    x = 32,928,304.45/8,749.39
  6. Step 6: Final answer
    x = 3,763.50

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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.