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Finding the Fourth Proportional to 6,563.68, 9,852.54 and 3,108.04

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Solution

The fourth proportional to 6,563.68, 9,852.54 and 3,108.04 is: 4,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.68 : 9,852.54 = 3,108.04 : x
  2. Step 2: Convert to fraction form
    6,563.68/9,852.54 = 3,108.04/x
  3. Step 3: Cross multiply
    6,563.68x = 9,852.54 × 3,108.04
  4. Step 4: Simplify right side
    6,563.68x = 30,622,088.42
  5. Step 5: Solve for x
    x = 30,622,088.42/6,563.68
  6. Step 6: Final answer
    x = 4,665.38

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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.