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Finding the Fourth Proportional to 9,469.48, 14,206.50 and 2,895.22

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Solution

The fourth proportional to 9,469.48, 14,206.50 and 2,895.22 is: 4,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.48 : 14,206.50 = 2,895.22 : x
  2. Step 2: Convert to fraction form
    9,469.48/14,206.50 = 2,895.22/x
  3. Step 3: Cross multiply
    9,469.48x = 14,206.50 × 2,895.22
  4. Step 4: Simplify right side
    9,469.48x = 41,130,942.93
  5. Step 5: Solve for x
    x = 41,130,942.93/9,469.48
  6. Step 6: Final answer
    x = 4,343.53

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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.