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Finding the Fourth Proportional to 6,456.65, 8,910.23 and 4,217.18

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Solution

The fourth proportional to 6,456.65, 8,910.23 and 4,217.18 is: 5,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.65 : 8,910.23 = 4,217.18 : x
  2. Step 2: Convert to fraction form
    6,456.65/8,910.23 = 4,217.18/x
  3. Step 3: Cross multiply
    6,456.65x = 8,910.23 × 4,217.18
  4. Step 4: Simplify right side
    6,456.65x = 37,575,978.11
  5. Step 5: Solve for x
    x = 37,575,978.11/6,456.65
  6. Step 6: Final answer
    x = 5,819.74

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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.