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Finding the Fourth Proportional to 9,986.94, 14,967.36 and 7,222.86

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Solution

The fourth proportional to 9,986.94, 14,967.36 and 7,222.86 is: 10,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.94 : 14,967.36 = 7,222.86 : x
  2. Step 2: Convert to fraction form
    9,986.94/14,967.36 = 7,222.86/x
  3. Step 3: Cross multiply
    9,986.94x = 14,967.36 × 7,222.86
  4. Step 4: Simplify right side
    9,986.94x = 108,107,145.85
  5. Step 5: Solve for x
    x = 108,107,145.85/9,986.94
  6. Step 6: Final answer
    x = 10,824.85

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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.