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Finding the Fourth Proportional to 6,456.06, 8,909.37 and 4,221.72

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Solution

The fourth proportional to 6,456.06, 8,909.37 and 4,221.72 is: 5,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.06 : 8,909.37 = 4,221.72 : x
  2. Step 2: Convert to fraction form
    6,456.06/8,909.37 = 4,221.72/x
  3. Step 3: Cross multiply
    6,456.06x = 8,909.37 × 4,221.72
  4. Step 4: Simplify right side
    6,456.06x = 37,612,865.52
  5. Step 5: Solve for x
    x = 37,612,865.52/6,456.06
  6. Step 6: Final answer
    x = 5,825.98

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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.