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Finding the Fourth Proportional to 9,426.80, 13,013.08 and 7,327.60

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Solution

The fourth proportional to 9,426.80, 13,013.08 and 7,327.60 is: 10,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.80 : 13,013.08 = 7,327.60 : x
  2. Step 2: Convert to fraction form
    9,426.80/13,013.08 = 7,327.60/x
  3. Step 3: Cross multiply
    9,426.80x = 13,013.08 × 7,327.60
  4. Step 4: Simplify right side
    9,426.80x = 95,354,645.01
  5. Step 5: Solve for x
    x = 95,354,645.01/9,426.80
  6. Step 6: Final answer
    x = 10,115.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.