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Finding the Fourth Proportional to 6,857.25, 9,465.62 and 4,208.24

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Solution

The fourth proportional to 6,857.25, 9,465.62 and 4,208.24 is: 5,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.25 : 9,465.62 = 4,208.24 : x
  2. Step 2: Convert to fraction form
    6,857.25/9,465.62 = 4,208.24/x
  3. Step 3: Cross multiply
    6,857.25x = 9,465.62 × 4,208.24
  4. Step 4: Simplify right side
    6,857.25x = 39,833,600.71
  5. Step 5: Solve for x
    x = 39,833,600.71/6,857.25
  6. Step 6: Final answer
    x = 5,808.98

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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.