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Finding the Fourth Proportional to 34,423.86, 51,625.88 and 9,464.73

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Solution

The fourth proportional to 34,423.86, 51,625.88 and 9,464.73 is: 14,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,423.86 : 51,625.88 = 9,464.73 : x
  2. Step 2: Convert to fraction form
    34,423.86/51,625.88 = 9,464.73/x
  3. Step 3: Cross multiply
    34,423.86x = 51,625.88 × 9,464.73
  4. Step 4: Simplify right side
    34,423.86x = 488,624,709.76
  5. Step 5: Solve for x
    x = 488,624,709.76/34,423.86
  6. Step 6: Final answer
    x = 14,194.36

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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.