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Finding the Fourth Proportional to 6,730.63, 9,288.71 and 4,078.29

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Solution

The fourth proportional to 6,730.63, 9,288.71 and 4,078.29 is: 5,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.63 : 9,288.71 = 4,078.29 : x
  2. Step 2: Convert to fraction form
    6,730.63/9,288.71 = 4,078.29/x
  3. Step 3: Cross multiply
    6,730.63x = 9,288.71 × 4,078.29
  4. Step 4: Simplify right side
    6,730.63x = 37,882,053.11
  5. Step 5: Solve for x
    x = 37,882,053.11/6,730.63
  6. Step 6: Final answer
    x = 5,628.31

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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.