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Finding the Fourth Proportional to 9,329.76, 13,995.24 and 2,756.16

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Solution

The fourth proportional to 9,329.76, 13,995.24 and 2,756.16 is: 4,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.76 : 13,995.24 = 2,756.16 : x
  2. Step 2: Convert to fraction form
    9,329.76/13,995.24 = 2,756.16/x
  3. Step 3: Cross multiply
    9,329.76x = 13,995.24 × 2,756.16
  4. Step 4: Simplify right side
    9,329.76x = 38,573,120.68
  5. Step 5: Solve for x
    x = 38,573,120.68/9,329.76
  6. Step 6: Final answer
    x = 4,134.42

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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.