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Finding the Fourth Proportional to 6,426, 9,633.48 and 3,305.88

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Solution

The fourth proportional to 6,426, 9,633.48 and 3,305.88 is: 4,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426 : 9,633.48 = 3,305.88 : x
  2. Step 2: Convert to fraction form
    6,426/9,633.48 = 3,305.88/x
  3. Step 3: Cross multiply
    6,426x = 9,633.48 × 3,305.88
  4. Step 4: Simplify right side
    6,426x = 31,847,128.86
  5. Step 5: Solve for x
    x = 31,847,128.86/6,426
  6. Step 6: Final answer
    x = 4,955.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.