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Finding the Fourth Proportional to 6,859.26, 9,465.94 and 4,208.12

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Solution

The fourth proportional to 6,859.26, 9,465.94 and 4,208.12 is: 5,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.26 : 9,465.94 = 4,208.12 : x
  2. Step 2: Convert to fraction form
    6,859.26/9,465.94 = 4,208.12/x
  3. Step 3: Cross multiply
    6,859.26x = 9,465.94 × 4,208.12
  4. Step 4: Simplify right side
    6,859.26x = 39,833,811.43
  5. Step 5: Solve for x
    x = 39,833,811.43/6,859.26
  6. Step 6: Final answer
    x = 5,807.30

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