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Finding the Fourth Proportional to 6,861.64, 9,468.75 and 4,208.62

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Solution

The fourth proportional to 6,861.64, 9,468.75 and 4,208.62 is: 5,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.64 : 9,468.75 = 4,208.62 : x
  2. Step 2: Convert to fraction form
    6,861.64/9,468.75 = 4,208.62/x
  3. Step 3: Cross multiply
    6,861.64x = 9,468.75 × 4,208.62
  4. Step 4: Simplify right side
    6,861.64x = 39,850,370.63
  5. Step 5: Solve for x
    x = 39,850,370.63/6,861.64
  6. Step 6: Final answer
    x = 5,807.70

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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.