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Finding the Fourth Proportional to 9,305, 13,957.02 and 2,730.44

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Solution

The fourth proportional to 9,305, 13,957.02 and 2,730.44 is: 4,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305 : 13,957.02 = 2,730.44 : x
  2. Step 2: Convert to fraction form
    9,305/13,957.02 = 2,730.44/x
  3. Step 3: Cross multiply
    9,305x = 13,957.02 × 2,730.44
  4. Step 4: Simplify right side
    9,305x = 38,108,805.69
  5. Step 5: Solve for x
    x = 38,108,805.69/9,305
  6. Step 6: Final answer
    x = 4,095.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.