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Finding the Fourth Proportional to 6,394.86, 9,572.49 and 3,465.90

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Solution

The fourth proportional to 6,394.86, 9,572.49 and 3,465.90 is: 5,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.86 : 9,572.49 = 3,465.90 : x
  2. Step 2: Convert to fraction form
    6,394.86/9,572.49 = 3,465.90/x
  3. Step 3: Cross multiply
    6,394.86x = 9,572.49 × 3,465.90
  4. Step 4: Simplify right side
    6,394.86x = 33,177,293.09
  5. Step 5: Solve for x
    x = 33,177,293.09/6,394.86
  6. Step 6: Final answer
    x = 5,188.12

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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.