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Finding the Fourth Proportional to 9,322.02, 13,978.20 and 2,747.36

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Solution

The fourth proportional to 9,322.02, 13,978.20 and 2,747.36 is: 4,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.02 : 13,978.20 = 2,747.36 : x
  2. Step 2: Convert to fraction form
    9,322.02/13,978.20 = 2,747.36/x
  3. Step 3: Cross multiply
    9,322.02x = 13,978.20 × 2,747.36
  4. Step 4: Simplify right side
    9,322.02x = 38,403,147.55
  5. Step 5: Solve for x
    x = 38,403,147.55/9,322.02
  6. Step 6: Final answer
    x = 4,119.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.