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Finding the Fourth Proportional to 9,306.40, 13,940.70 and 5,785.60

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Solution

The fourth proportional to 9,306.40, 13,940.70 and 5,785.60 is: 8,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.40 : 13,940.70 = 5,785.60 : x
  2. Step 2: Convert to fraction form
    9,306.40/13,940.70 = 5,785.60/x
  3. Step 3: Cross multiply
    9,306.40x = 13,940.70 × 5,785.60
  4. Step 4: Simplify right side
    9,306.40x = 80,655,313.92
  5. Step 5: Solve for x
    x = 80,655,313.92/9,306.40
  6. Step 6: Final answer
    x = 8,666.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.