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Finding the Fourth Proportional to 6,429.68, 9,628.94 and 4,449.76

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Solution

The fourth proportional to 6,429.68, 9,628.94 and 4,449.76 is: 6,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.68 : 9,628.94 = 4,449.76 : x
  2. Step 2: Convert to fraction form
    6,429.68/9,628.94 = 4,449.76/x
  3. Step 3: Cross multiply
    6,429.68x = 9,628.94 × 4,449.76
  4. Step 4: Simplify right side
    6,429.68x = 42,846,423.91
  5. Step 5: Solve for x
    x = 42,846,423.91/6,429.68
  6. Step 6: Final answer
    x = 6,663.86

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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.