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Finding the Fourth Proportional to 6,456.17, 8,908.18 and 4,221.33

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Solution

The fourth proportional to 6,456.17, 8,908.18 and 4,221.33 is: 5,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.17 : 8,908.18 = 4,221.33 : x
  2. Step 2: Convert to fraction form
    6,456.17/8,908.18 = 4,221.33/x
  3. Step 3: Cross multiply
    6,456.17x = 8,908.18 × 4,221.33
  4. Step 4: Simplify right side
    6,456.17x = 37,604,373.63
  5. Step 5: Solve for x
    x = 37,604,373.63/6,456.17
  6. Step 6: Final answer
    x = 5,824.56

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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.