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Finding the Fourth Proportional to 9,153.92, 13,730.80 and 3,310.48

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Solution

The fourth proportional to 9,153.92, 13,730.80 and 3,310.48 is: 4,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.92 : 13,730.80 = 3,310.48 : x
  2. Step 2: Convert to fraction form
    9,153.92/13,730.80 = 3,310.48/x
  3. Step 3: Cross multiply
    9,153.92x = 13,730.80 × 3,310.48
  4. Step 4: Simplify right side
    9,153.92x = 45,455,538.78
  5. Step 5: Solve for x
    x = 45,455,538.78/9,153.92
  6. Step 6: Final answer
    x = 4,965.69

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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.