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Finding the Fourth Proportional to 9,167.36, 13,740.80 and 8,429.28

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Solution

The fourth proportional to 9,167.36, 13,740.80 and 8,429.28 is: 12,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.36 : 13,740.80 = 8,429.28 : x
  2. Step 2: Convert to fraction form
    9,167.36/13,740.80 = 8,429.28/x
  3. Step 3: Cross multiply
    9,167.36x = 13,740.80 × 8,429.28
  4. Step 4: Simplify right side
    9,167.36x = 115,825,050.62
  5. Step 5: Solve for x
    x = 115,825,050.62/9,167.36
  6. Step 6: Final answer
    x = 12,634.50

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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.