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Finding the Fourth Proportional to 10,416.72, 14,366.94 and 9,222.98

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Solution

The fourth proportional to 10,416.72, 14,366.94 and 9,222.98 is: 12,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.72 : 14,366.94 = 9,222.98 : x
  2. Step 2: Convert to fraction form
    10,416.72/14,366.94 = 9,222.98/x
  3. Step 3: Cross multiply
    10,416.72x = 14,366.94 × 9,222.98
  4. Step 4: Simplify right side
    10,416.72x = 132,505,928.45
  5. Step 5: Solve for x
    x = 132,505,928.45/10,416.72
  6. Step 6: Final answer
    x = 12,720.50

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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.