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Finding the Fourth Proportional to 6,510.08, 9,766.84 and 2,814.90

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Solution

The fourth proportional to 6,510.08, 9,766.84 and 2,814.90 is: 4,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.08 : 9,766.84 = 2,814.90 : x
  2. Step 2: Convert to fraction form
    6,510.08/9,766.84 = 2,814.90/x
  3. Step 3: Cross multiply
    6,510.08x = 9,766.84 × 2,814.90
  4. Step 4: Simplify right side
    6,510.08x = 27,492,677.92
  5. Step 5: Solve for x
    x = 27,492,677.92/6,510.08
  6. Step 6: Final answer
    x = 4,223.09

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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.