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Finding the Fourth Proportional to 9,096.45, 12,554.82 and 5,695.04

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Solution

The fourth proportional to 9,096.45, 12,554.82 and 5,695.04 is: 7,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.45 : 12,554.82 = 5,695.04 : x
  2. Step 2: Convert to fraction form
    9,096.45/12,554.82 = 5,695.04/x
  3. Step 3: Cross multiply
    9,096.45x = 12,554.82 × 5,695.04
  4. Step 4: Simplify right side
    9,096.45x = 71,500,202.09
  5. Step 5: Solve for x
    x = 71,500,202.09/9,096.45
  6. Step 6: Final answer
    x = 7,860.23

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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.