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Finding the Fourth Proportional to 9,477, 14,220.94 and 5,094.60

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Solution

The fourth proportional to 9,477, 14,220.94 and 5,094.60 is: 7,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477 : 14,220.94 = 5,094.60 : x
  2. Step 2: Convert to fraction form
    9,477/14,220.94 = 5,094.60/x
  3. Step 3: Cross multiply
    9,477x = 14,220.94 × 5,094.60
  4. Step 4: Simplify right side
    9,477x = 72,450,000.92
  5. Step 5: Solve for x
    x = 72,450,000.92/9,477
  6. Step 6: Final answer
    x = 7,644.82

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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.