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Finding the Fourth Proportional to 9,760.82, 13,471.90 and 6,618.02

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Solution

The fourth proportional to 9,760.82, 13,471.90 and 6,618.02 is: 9,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.82 : 13,471.90 = 6,618.02 : x
  2. Step 2: Convert to fraction form
    9,760.82/13,471.90 = 6,618.02/x
  3. Step 3: Cross multiply
    9,760.82x = 13,471.90 × 6,618.02
  4. Step 4: Simplify right side
    9,760.82x = 89,157,303.64
  5. Step 5: Solve for x
    x = 89,157,303.64/9,760.82
  6. Step 6: Final answer
    x = 9,134.20

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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.