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Finding the Fourth Proportional to 9,188, 13,793.20 and 6,070.68

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Solution

The fourth proportional to 9,188, 13,793.20 and 6,070.68 is: 9,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188 : 13,793.20 = 6,070.68 : x
  2. Step 2: Convert to fraction form
    9,188/13,793.20 = 6,070.68/x
  3. Step 3: Cross multiply
    9,188x = 13,793.20 × 6,070.68
  4. Step 4: Simplify right side
    9,188x = 83,734,103.38
  5. Step 5: Solve for x
    x = 83,734,103.38/9,188
  6. Step 6: Final answer
    x = 9,113.42

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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.