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Finding the Fourth Proportional to 9,096.42, 13,671.56 and 7,546.48

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Solution

The fourth proportional to 9,096.42, 13,671.56 and 7,546.48 is: 11,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.42 : 13,671.56 = 7,546.48 : x
  2. Step 2: Convert to fraction form
    9,096.42/13,671.56 = 7,546.48/x
  3. Step 3: Cross multiply
    9,096.42x = 13,671.56 × 7,546.48
  4. Step 4: Simplify right side
    9,096.42x = 103,172,154.11
  5. Step 5: Solve for x
    x = 103,172,154.11/9,096.42
  6. Step 6: Final answer
    x = 11,342.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.