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Finding the Fourth Proportional to 9,197.16, 13,849.85 and 6,618.12

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Solution

The fourth proportional to 9,197.16, 13,849.85 and 6,618.12 is: 9,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.16 : 13,849.85 = 6,618.12 : x
  2. Step 2: Convert to fraction form
    9,197.16/13,849.85 = 6,618.12/x
  3. Step 3: Cross multiply
    9,197.16x = 13,849.85 × 6,618.12
  4. Step 4: Simplify right side
    9,197.16x = 91,659,969.28
  5. Step 5: Solve for x
    x = 91,659,969.28/9,197.16
  6. Step 6: Final answer
    x = 9,966.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.