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Finding the Fourth Proportional to 9,134.40, 12,605.49 and 4,942.65

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Solution

The fourth proportional to 9,134.40, 12,605.49 and 4,942.65 is: 6,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.40 : 12,605.49 = 4,942.65 : x
  2. Step 2: Convert to fraction form
    9,134.40/12,605.49 = 4,942.65/x
  3. Step 3: Cross multiply
    9,134.40x = 12,605.49 × 4,942.65
  4. Step 4: Simplify right side
    9,134.40x = 62,304,525.15
  5. Step 5: Solve for x
    x = 62,304,525.15/9,134.40
  6. Step 6: Final answer
    x = 6,820.87

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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.