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Finding the Fourth Proportional to 9,109.44, 13,661.28 and 2,952

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Solution

The fourth proportional to 9,109.44, 13,661.28 and 2,952 is: 4,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.44 : 13,661.28 = 2,952 : x
  2. Step 2: Convert to fraction form
    9,109.44/13,661.28 = 2,952/x
  3. Step 3: Cross multiply
    9,109.44x = 13,661.28 × 2,952
  4. Step 4: Simplify right side
    9,109.44x = 40,328,098.56
  5. Step 5: Solve for x
    x = 40,328,098.56/9,109.44
  6. Step 6: Final answer
    x = 4,427.07

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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.