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Finding the Fourth Proportional to 9,960.54, 14,942.25 and 3,034.14

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Solution

The fourth proportional to 9,960.54, 14,942.25 and 3,034.14 is: 4,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.54 : 14,942.25 = 3,034.14 : x
  2. Step 2: Convert to fraction form
    9,960.54/14,942.25 = 3,034.14/x
  3. Step 3: Cross multiply
    9,960.54x = 14,942.25 × 3,034.14
  4. Step 4: Simplify right side
    9,960.54x = 45,336,878.42
  5. Step 5: Solve for x
    x = 45,336,878.42/9,960.54
  6. Step 6: Final answer
    x = 4,551.65

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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.