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Finding the Fourth Proportional to 9,096.62, 12,557.52 and 6,859.40

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Solution

The fourth proportional to 9,096.62, 12,557.52 and 6,859.40 is: 9,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.62 : 12,557.52 = 6,859.40 : x
  2. Step 2: Convert to fraction form
    9,096.62/12,557.52 = 6,859.40/x
  3. Step 3: Cross multiply
    9,096.62x = 12,557.52 × 6,859.40
  4. Step 4: Simplify right side
    9,096.62x = 86,137,052.69
  5. Step 5: Solve for x
    x = 86,137,052.69/9,096.62
  6. Step 6: Final answer
    x = 9,469.13

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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.