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Finding the Fourth Proportional to 9,148.92, 13,714.14 and 3,600.10

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Solution

The fourth proportional to 9,148.92, 13,714.14 and 3,600.10 is: 5,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.92 : 13,714.14 = 3,600.10 : x
  2. Step 2: Convert to fraction form
    9,148.92/13,714.14 = 3,600.10/x
  3. Step 3: Cross multiply
    9,148.92x = 13,714.14 × 3,600.10
  4. Step 4: Simplify right side
    9,148.92x = 49,372,198.54
  5. Step 5: Solve for x
    x = 49,372,198.54/9,148.92
  6. Step 6: Final answer
    x = 5,396.50

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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.