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Finding the Fourth Proportional to 9,425.84, 13,007.88 and 5,234

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Solution

The fourth proportional to 9,425.84, 13,007.88 and 5,234 is: 7,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.84 : 13,007.88 = 5,234 : x
  2. Step 2: Convert to fraction form
    9,425.84/13,007.88 = 5,234/x
  3. Step 3: Cross multiply
    9,425.84x = 13,007.88 × 5,234
  4. Step 4: Simplify right side
    9,425.84x = 68,083,243.92
  5. Step 5: Solve for x
    x = 68,083,243.92/9,425.84
  6. Step 6: Final answer
    x = 7,223.04

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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.