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Finding the Fourth Proportional to 6,725.64, 9,282.21 and 4,366.92

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Solution

The fourth proportional to 6,725.64, 9,282.21 and 4,366.92 is: 6,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.64 : 9,282.21 = 4,366.92 : x
  2. Step 2: Convert to fraction form
    6,725.64/9,282.21 = 4,366.92/x
  3. Step 3: Cross multiply
    6,725.64x = 9,282.21 × 4,366.92
  4. Step 4: Simplify right side
    6,725.64x = 40,534,668.49
  5. Step 5: Solve for x
    x = 40,534,668.49/6,725.64
  6. Step 6: Final answer
    x = 6,026.89

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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.