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Finding the Fourth Proportional to 34,435.68, 51,644.04 and 9,469.86

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Solution

The fourth proportional to 34,435.68, 51,644.04 and 9,469.86 is: 14,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,435.68 : 51,644.04 = 9,469.86 : x
  2. Step 2: Convert to fraction form
    34,435.68/51,644.04 = 9,469.86/x
  3. Step 3: Cross multiply
    34,435.68x = 51,644.04 × 9,469.86
  4. Step 4: Simplify right side
    34,435.68x = 489,061,828.63
  5. Step 5: Solve for x
    x = 489,061,828.63/34,435.68
  6. Step 6: Final answer
    x = 14,202.18

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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.