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Finding the Fourth Proportional to 9,451.89, 13,041.20 and 6,308.69

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Solution

The fourth proportional to 9,451.89, 13,041.20 and 6,308.69 is: 8,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.89 : 13,041.20 = 6,308.69 : x
  2. Step 2: Convert to fraction form
    9,451.89/13,041.20 = 6,308.69/x
  3. Step 3: Cross multiply
    9,451.89x = 13,041.20 × 6,308.69
  4. Step 4: Simplify right side
    9,451.89x = 82,272,838.59
  5. Step 5: Solve for x
    x = 82,272,838.59/9,451.89
  6. Step 6: Final answer
    x = 8,704.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.