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Finding the Fourth Proportional to 9,292.64, 12,811.18 and 6,635.42

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Solution

The fourth proportional to 9,292.64, 12,811.18 and 6,635.42 is: 9,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.64 : 12,811.18 = 6,635.42 : x
  2. Step 2: Convert to fraction form
    9,292.64/12,811.18 = 6,635.42/x
  3. Step 3: Cross multiply
    9,292.64x = 12,811.18 × 6,635.42
  4. Step 4: Simplify right side
    9,292.64x = 85,007,560.00
  5. Step 5: Solve for x
    x = 85,007,560.00/9,292.64
  6. Step 6: Final answer
    x = 9,147.84

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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.