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Finding the Fourth Proportional to 9,627.30, 13,286.61 and 5,849.64

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Solution

The fourth proportional to 9,627.30, 13,286.61 and 5,849.64 is: 8,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.30 : 13,286.61 = 5,849.64 : x
  2. Step 2: Convert to fraction form
    9,627.30/13,286.61 = 5,849.64/x
  3. Step 3: Cross multiply
    9,627.30x = 13,286.61 × 5,849.64
  4. Step 4: Simplify right side
    9,627.30x = 77,721,885.32
  5. Step 5: Solve for x
    x = 77,721,885.32/9,627.30
  6. Step 6: Final answer
    x = 8,073.07

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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.