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Finding the Fourth Proportional to 9,509.58, 13,104.72 and 6,851.97

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Solution

The fourth proportional to 9,509.58, 13,104.72 and 6,851.97 is: 9,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.58 : 13,104.72 = 6,851.97 : x
  2. Step 2: Convert to fraction form
    9,509.58/13,104.72 = 6,851.97/x
  3. Step 3: Cross multiply
    9,509.58x = 13,104.72 × 6,851.97
  4. Step 4: Simplify right side
    9,509.58x = 89,793,148.30
  5. Step 5: Solve for x
    x = 89,793,148.30/9,509.58
  6. Step 6: Final answer
    x = 9,442.39

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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.