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Finding the Fourth Proportional to 6,458.09, 8,909.87 and 4,221.26

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Solution

The fourth proportional to 6,458.09, 8,909.87 and 4,221.26 is: 5,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.09 : 8,909.87 = 4,221.26 : x
  2. Step 2: Convert to fraction form
    6,458.09/8,909.87 = 4,221.26/x
  3. Step 3: Cross multiply
    6,458.09x = 8,909.87 × 4,221.26
  4. Step 4: Simplify right side
    6,458.09x = 37,610,833.29
  5. Step 5: Solve for x
    x = 37,610,833.29/6,458.09
  6. Step 6: Final answer
    x = 5,823.83

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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.