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Finding the Fourth Proportional to 9,425.53, 13,007.23 and 5,233.78

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Solution

The fourth proportional to 9,425.53, 13,007.23 and 5,233.78 is: 7,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.53 : 13,007.23 = 5,233.78 : x
  2. Step 2: Convert to fraction form
    9,425.53/13,007.23 = 5,233.78/x
  3. Step 3: Cross multiply
    9,425.53x = 13,007.23 × 5,233.78
  4. Step 4: Simplify right side
    9,425.53x = 68,077,012.84
  5. Step 5: Solve for x
    x = 68,077,012.84/9,425.53
  6. Step 6: Final answer
    x = 7,222.62

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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.