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Finding the Fourth Proportional to 9,367.60, 14,067.60 and 6,095.20

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Solution

The fourth proportional to 9,367.60, 14,067.60 and 6,095.20 is: 9,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.60 : 14,067.60 = 6,095.20 : x
  2. Step 2: Convert to fraction form
    9,367.60/14,067.60 = 6,095.20/x
  3. Step 3: Cross multiply
    9,367.60x = 14,067.60 × 6,095.20
  4. Step 4: Simplify right side
    9,367.60x = 85,744,835.52
  5. Step 5: Solve for x
    x = 85,744,835.52/9,367.60
  6. Step 6: Final answer
    x = 9,153.34

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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.