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Finding the Fourth Proportional to 9,096.52, 13,578.42 and 7,989.38

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Solution

The fourth proportional to 9,096.52, 13,578.42 and 7,989.38 is: 11,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.52 : 13,578.42 = 7,989.38 : x
  2. Step 2: Convert to fraction form
    9,096.52/13,578.42 = 7,989.38/x
  3. Step 3: Cross multiply
    9,096.52x = 13,578.42 × 7,989.38
  4. Step 4: Simplify right side
    9,096.52x = 108,483,157.18
  5. Step 5: Solve for x
    x = 108,483,157.18/9,096.52
  6. Step 6: Final answer
    x = 11,925.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.