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Finding the Fourth Proportional to 6,694.04, 9,238.23 and 3,710.00

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Solution

The fourth proportional to 6,694.04, 9,238.23 and 3,710.00 is: 5,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.04 : 9,238.23 = 3,710.00 : x
  2. Step 2: Convert to fraction form
    6,694.04/9,238.23 = 3,710.00/x
  3. Step 3: Cross multiply
    6,694.04x = 9,238.23 × 3,710.00
  4. Step 4: Simplify right side
    6,694.04x = 34,273,787.11
  5. Step 5: Solve for x
    x = 34,273,787.11/6,694.04
  6. Step 6: Final answer
    x = 5,120.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.