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Finding the Fourth Proportional to 6,193.92, 9,290.88 and 2,730.24

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Solution

The fourth proportional to 6,193.92, 9,290.88 and 2,730.24 is: 4,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.92 : 9,290.88 = 2,730.24 : x
  2. Step 2: Convert to fraction form
    6,193.92/9,290.88 = 2,730.24/x
  3. Step 3: Cross multiply
    6,193.92x = 9,290.88 × 2,730.24
  4. Step 4: Simplify right side
    6,193.92x = 25,366,332.21
  5. Step 5: Solve for x
    x = 25,366,332.21/6,193.92
  6. Step 6: Final answer
    x = 4,095.36

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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.