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Finding the Fourth Proportional to 9,336.67, 14,002.67 and 5,824.91

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Solution

The fourth proportional to 9,336.67, 14,002.67 and 5,824.91 is: 8,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.67 : 14,002.67 = 5,824.91 : x
  2. Step 2: Convert to fraction form
    9,336.67/14,002.67 = 5,824.91/x
  3. Step 3: Cross multiply
    9,336.67x = 14,002.67 × 5,824.91
  4. Step 4: Simplify right side
    9,336.67x = 81,564,342.08
  5. Step 5: Solve for x
    x = 81,564,342.08/9,336.67
  6. Step 6: Final answer
    x = 8,735.92

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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.