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Finding the Fourth Proportional to 9,602.23, 13,250.65 and 5,353.75

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Solution

The fourth proportional to 9,602.23, 13,250.65 and 5,353.75 is: 7,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.23 : 13,250.65 = 5,353.75 : x
  2. Step 2: Convert to fraction form
    9,602.23/13,250.65 = 5,353.75/x
  3. Step 3: Cross multiply
    9,602.23x = 13,250.65 × 5,353.75
  4. Step 4: Simplify right side
    9,602.23x = 70,940,667.44
  5. Step 5: Solve for x
    x = 70,940,667.44/9,602.23
  6. Step 6: Final answer
    x = 7,387.94

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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.