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Finding the Fourth Proportional to 34,412.99, 51,613.31 and 9,112.66

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Solution

The fourth proportional to 34,412.99, 51,613.31 and 9,112.66 is: 13,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.99 : 51,613.31 = 9,112.66 : x
  2. Step 2: Convert to fraction form
    34,412.99/51,613.31 = 9,112.66/x
  3. Step 3: Cross multiply
    34,412.99x = 51,613.31 × 9,112.66
  4. Step 4: Simplify right side
    34,412.99x = 470,334,499.94
  5. Step 5: Solve for x
    x = 470,334,499.94/34,412.99
  6. Step 6: Final answer
    x = 13,667.36

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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.