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Finding the Fourth Proportional to 9,389.72, 12,940.88 and 8,314.58

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Solution

The fourth proportional to 9,389.72, 12,940.88 and 8,314.58 is: 11,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.72 : 12,940.88 = 8,314.58 : x
  2. Step 2: Convert to fraction form
    9,389.72/12,940.88 = 8,314.58/x
  3. Step 3: Cross multiply
    9,389.72x = 12,940.88 × 8,314.58
  4. Step 4: Simplify right side
    9,389.72x = 107,597,982.03
  5. Step 5: Solve for x
    x = 107,597,982.03/9,389.72
  6. Step 6: Final answer
    x = 11,459.13

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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.