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Finding the Fourth Proportional to 9,245.04, 12,753.72 and 5,706.96

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Solution

The fourth proportional to 9,245.04, 12,753.72 and 5,706.96 is: 7,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.04 : 12,753.72 = 5,706.96 : x
  2. Step 2: Convert to fraction form
    9,245.04/12,753.72 = 5,706.96/x
  3. Step 3: Cross multiply
    9,245.04x = 12,753.72 × 5,706.96
  4. Step 4: Simplify right side
    9,245.04x = 72,784,969.89
  5. Step 5: Solve for x
    x = 72,784,969.89/9,245.04
  6. Step 6: Final answer
    x = 7,872.87

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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.