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Finding the Fourth Proportional to 9,310.97, 12,834.35 and 7,318.10

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Solution

The fourth proportional to 9,310.97, 12,834.35 and 7,318.10 is: 10,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.97 : 12,834.35 = 7,318.10 : x
  2. Step 2: Convert to fraction form
    9,310.97/12,834.35 = 7,318.10/x
  3. Step 3: Cross multiply
    9,310.97x = 12,834.35 × 7,318.10
  4. Step 4: Simplify right side
    9,310.97x = 93,923,052.23
  5. Step 5: Solve for x
    x = 93,923,052.23/9,310.97
  6. Step 6: Final answer
    x = 10,087.35

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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.