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Finding the Fourth Proportional to 34,430.45, 51,638.99 and 9,464.09

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Solution

The fourth proportional to 34,430.45, 51,638.99 and 9,464.09 is: 14,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,430.45 : 51,638.99 = 9,464.09 : x
  2. Step 2: Convert to fraction form
    34,430.45/51,638.99 = 9,464.09/x
  3. Step 3: Cross multiply
    34,430.45x = 51,638.99 × 9,464.09
  4. Step 4: Simplify right side
    34,430.45x = 488,715,743.35
  5. Step 5: Solve for x
    x = 488,715,743.35/34,430.45
  6. Step 6: Final answer
    x = 14,194.29

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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.