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Finding the Fourth Proportional to 6,664.67, 9,989.06 and 3,102.00

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Solution

The fourth proportional to 6,664.67, 9,989.06 and 3,102.00 is: 4,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.67 : 9,989.06 = 3,102.00 : x
  2. Step 2: Convert to fraction form
    6,664.67/9,989.06 = 3,102.00/x
  3. Step 3: Cross multiply
    6,664.67x = 9,989.06 × 3,102.00
  4. Step 4: Simplify right side
    6,664.67x = 30,986,011.15
  5. Step 5: Solve for x
    x = 30,986,011.15/6,664.67
  6. Step 6: Final answer
    x = 4,649.29

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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.