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Finding the Fourth Proportional to 6,423, 8,864.46 and 3,628.68

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Solution

The fourth proportional to 6,423, 8,864.46 and 3,628.68 is: 5,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423 : 8,864.46 = 3,628.68 : x
  2. Step 2: Convert to fraction form
    6,423/8,864.46 = 3,628.68/x
  3. Step 3: Cross multiply
    6,423x = 8,864.46 × 3,628.68
  4. Step 4: Simplify right side
    6,423x = 32,166,288.71
  5. Step 5: Solve for x
    x = 32,166,288.71/6,423
  6. Step 6: Final answer
    x = 5,007.99

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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.