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Finding the Fourth Proportional to 6,423, 8,864.01 and 3,628.50

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Solution

The fourth proportional to 6,423, 8,864.01 and 3,628.50 is: 5,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423 : 8,864.01 = 3,628.50 : x
  2. Step 2: Convert to fraction form
    6,423/8,864.01 = 3,628.50/x
  3. Step 3: Cross multiply
    6,423x = 8,864.01 × 3,628.50
  4. Step 4: Simplify right side
    6,423x = 32,163,060.29
  5. Step 5: Solve for x
    x = 32,163,060.29/6,423
  6. Step 6: Final answer
    x = 5,007.48

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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.