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Finding the Fourth Proportional to 6,434.64, 9,653.52 and 3,313.44

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Solution

The fourth proportional to 6,434.64, 9,653.52 and 3,313.44 is: 4,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.64 : 9,653.52 = 3,313.44 : x
  2. Step 2: Convert to fraction form
    6,434.64/9,653.52 = 3,313.44/x
  3. Step 3: Cross multiply
    6,434.64x = 9,653.52 × 3,313.44
  4. Step 4: Simplify right side
    6,434.64x = 31,986,359.31
  5. Step 5: Solve for x
    x = 31,986,359.31/6,434.64
  6. Step 6: Final answer
    x = 4,970.96

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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.