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Finding the Fourth Proportional to 9,735.18, 13,426.27 and 8,230.08

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Solution

The fourth proportional to 9,735.18, 13,426.27 and 8,230.08 is: 11,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.18 : 13,426.27 = 8,230.08 : x
  2. Step 2: Convert to fraction form
    9,735.18/13,426.27 = 8,230.08/x
  3. Step 3: Cross multiply
    9,735.18x = 13,426.27 × 8,230.08
  4. Step 4: Simplify right side
    9,735.18x = 110,499,276.20
  5. Step 5: Solve for x
    x = 110,499,276.20/9,735.18
  6. Step 6: Final answer
    x = 11,350.51

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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.