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Finding the Fourth Proportional to 9,134.69, 12,605.90 and 4,942.94

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Solution

The fourth proportional to 9,134.69, 12,605.90 and 4,942.94 is: 6,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.69 : 12,605.90 = 4,942.94 : x
  2. Step 2: Convert to fraction form
    9,134.69/12,605.90 = 4,942.94/x
  3. Step 3: Cross multiply
    9,134.69x = 12,605.90 × 4,942.94
  4. Step 4: Simplify right side
    9,134.69x = 62,310,188.19
  5. Step 5: Solve for x
    x = 62,310,188.19/9,134.69
  6. Step 6: Final answer
    x = 6,821.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.