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Finding the Fourth Proportional to 6,912.84, 10,359.54 and 3,009.06

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Solution

The fourth proportional to 6,912.84, 10,359.54 and 3,009.06 is: 4,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.84 : 10,359.54 = 3,009.06 : x
  2. Step 2: Convert to fraction form
    6,912.84/10,359.54 = 3,009.06/x
  3. Step 3: Cross multiply
    6,912.84x = 10,359.54 × 3,009.06
  4. Step 4: Simplify right side
    6,912.84x = 31,172,477.43
  5. Step 5: Solve for x
    x = 31,172,477.43/6,912.84
  6. Step 6: Final answer
    x = 4,509.36

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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.