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Finding the Fourth Proportional to 8,510.37, 12,756.09 and 6,423.62

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Solution

The fourth proportional to 8,510.37, 12,756.09 and 6,423.62 is: 9,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.37 : 12,756.09 = 6,423.62 : x
  2. Step 2: Convert to fraction form
    8,510.37/12,756.09 = 6,423.62/x
  3. Step 3: Cross multiply
    8,510.37x = 12,756.09 × 6,423.62
  4. Step 4: Simplify right side
    8,510.37x = 81,940,211.07
  5. Step 5: Solve for x
    x = 81,940,211.07/8,510.37
  6. Step 6: Final answer
    x = 9,628.28

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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.