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Finding the Fourth Proportional to 8,309.32, 11,458.92 and 6,417.88

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Solution

The fourth proportional to 8,309.32, 11,458.92 and 6,417.88 is: 8,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.32 : 11,458.92 = 6,417.88 : x
  2. Step 2: Convert to fraction form
    8,309.32/11,458.92 = 6,417.88/x
  3. Step 3: Cross multiply
    8,309.32x = 11,458.92 × 6,417.88
  4. Step 4: Simplify right side
    8,309.32x = 73,541,973.49
  5. Step 5: Solve for x
    x = 73,541,973.49/8,309.32
  6. Step 6: Final answer
    x = 8,850.54

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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.