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Finding the Fourth Proportional to 9,851.38, 13,594.90 and 6,319.37

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Solution

The fourth proportional to 9,851.38, 13,594.90 and 6,319.37 is: 8,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.38 : 13,594.90 = 6,319.37 : x
  2. Step 2: Convert to fraction form
    9,851.38/13,594.90 = 6,319.37/x
  3. Step 3: Cross multiply
    9,851.38x = 13,594.90 × 6,319.37
  4. Step 4: Simplify right side
    9,851.38x = 85,911,203.21
  5. Step 5: Solve for x
    x = 85,911,203.21/9,851.38
  6. Step 6: Final answer
    x = 8,720.73

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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.