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Finding the Fourth Proportional to 9,193.62, 12,685.26 and 6,011.58

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Solution

The fourth proportional to 9,193.62, 12,685.26 and 6,011.58 is: 8,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.62 : 12,685.26 = 6,011.58 : x
  2. Step 2: Convert to fraction form
    9,193.62/12,685.26 = 6,011.58/x
  3. Step 3: Cross multiply
    9,193.62x = 12,685.26 × 6,011.58
  4. Step 4: Simplify right side
    9,193.62x = 76,258,455.31
  5. Step 5: Solve for x
    x = 76,258,455.31/9,193.62
  6. Step 6: Final answer
    x = 8,294.71

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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.