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Finding the Fourth Proportional to 9,262.04, 13,884.84 and 7,080.50

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Solution

The fourth proportional to 9,262.04, 13,884.84 and 7,080.50 is: 10,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.04 : 13,884.84 = 7,080.50 : x
  2. Step 2: Convert to fraction form
    9,262.04/13,884.84 = 7,080.50/x
  3. Step 3: Cross multiply
    9,262.04x = 13,884.84 × 7,080.50
  4. Step 4: Simplify right side
    9,262.04x = 98,311,540.20
  5. Step 5: Solve for x
    x = 98,311,540.20/9,262.04
  6. Step 6: Final answer
    x = 10,614.46

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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.