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Finding the Fourth Proportional to 6,194.88, 9,292.32 and 2,730.24

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Solution

The fourth proportional to 6,194.88, 9,292.32 and 2,730.24 is: 4,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.88 : 9,292.32 = 2,730.24 : x
  2. Step 2: Convert to fraction form
    6,194.88/9,292.32 = 2,730.24/x
  3. Step 3: Cross multiply
    6,194.88x = 9,292.32 × 2,730.24
  4. Step 4: Simplify right side
    6,194.88x = 25,370,263.76
  5. Step 5: Solve for x
    x = 25,370,263.76/6,194.88
  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.