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Finding the Fourth Proportional to 9,225.98, 13,838.94 and 3,957.57

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Solution

The fourth proportional to 9,225.98, 13,838.94 and 3,957.57 is: 5,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.98 : 13,838.94 = 3,957.57 : x
  2. Step 2: Convert to fraction form
    9,225.98/13,838.94 = 3,957.57/x
  3. Step 3: Cross multiply
    9,225.98x = 13,838.94 × 3,957.57
  4. Step 4: Simplify right side
    9,225.98x = 54,768,573.78
  5. Step 5: Solve for x
    x = 54,768,573.78/9,225.98
  6. Step 6: Final answer
    x = 5,936.34

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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.