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Finding the Fourth Proportional to 34,428.74, 51,633.59 and 9,462.85

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Solution

The fourth proportional to 34,428.74, 51,633.59 and 9,462.85 is: 14,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,428.74 : 51,633.59 = 9,462.85 : x
  2. Step 2: Convert to fraction form
    34,428.74/51,633.59 = 9,462.85/x
  3. Step 3: Cross multiply
    34,428.74x = 51,633.59 × 9,462.85
  4. Step 4: Simplify right side
    34,428.74x = 488,600,740.73
  5. Step 5: Solve for x
    x = 488,600,740.73/34,428.74
  6. Step 6: Final answer
    x = 14,191.66

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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.