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Finding the Fourth Proportional to 34,430.94, 51,640.20 and 9,467.75

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Solution

The fourth proportional to 34,430.94, 51,640.20 and 9,467.75 is: 14,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,430.94 : 51,640.20 = 9,467.75 : x
  2. Step 2: Convert to fraction form
    34,430.94/51,640.20 = 9,467.75/x
  3. Step 3: Cross multiply
    34,430.94x = 51,640.20 × 9,467.75
  4. Step 4: Simplify right side
    34,430.94x = 488,916,632.65
  5. Step 5: Solve for x
    x = 488,916,632.65/34,430.94
  6. Step 6: Final answer
    x = 14,199.92

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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.