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Finding the Fourth Proportional to 9,002.44, 13,505.93 and 6,375.09

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Solution

The fourth proportional to 9,002.44, 13,505.93 and 6,375.09 is: 9,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.44 : 13,505.93 = 6,375.09 : x
  2. Step 2: Convert to fraction form
    9,002.44/13,505.93 = 6,375.09/x
  3. Step 3: Cross multiply
    9,002.44x = 13,505.93 × 6,375.09
  4. Step 4: Simplify right side
    9,002.44x = 86,101,487.41
  5. Step 5: Solve for x
    x = 86,101,487.41/9,002.44
  6. Step 6: Final answer
    x = 9,564.24

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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.