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Finding the Fourth Proportional to 6,730.92, 9,289.56 and 4,078.32

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Solution

The fourth proportional to 6,730.92, 9,289.56 and 4,078.32 is: 5,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.92 : 9,289.56 = 4,078.32 : x
  2. Step 2: Convert to fraction form
    6,730.92/9,289.56 = 4,078.32/x
  3. Step 3: Cross multiply
    6,730.92x = 9,289.56 × 4,078.32
  4. Step 4: Simplify right side
    6,730.92x = 37,885,798.34
  5. Step 5: Solve for x
    x = 37,885,798.34/6,730.92
  6. Step 6: Final answer
    x = 5,628.62

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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.