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Finding the Fourth Proportional to 34,414.68, 51,615.83 and 9,114.35

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Solution

The fourth proportional to 34,414.68, 51,615.83 and 9,114.35 is: 13,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.68 : 51,615.83 = 9,114.35 : x
  2. Step 2: Convert to fraction form
    34,414.68/51,615.83 = 9,114.35/x
  3. Step 3: Cross multiply
    34,414.68x = 51,615.83 × 9,114.35
  4. Step 4: Simplify right side
    34,414.68x = 470,444,740.16
  5. Step 5: Solve for x
    x = 470,444,740.16/34,414.68
  6. Step 6: Final answer
    x = 13,669.89

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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.