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Finding the Fourth Proportional to 9,957.48, 14,922.24 and 7,868.28

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Solution

The fourth proportional to 9,957.48, 14,922.24 and 7,868.28 is: 11,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.48 : 14,922.24 = 7,868.28 : x
  2. Step 2: Convert to fraction form
    9,957.48/14,922.24 = 7,868.28/x
  3. Step 3: Cross multiply
    9,957.48x = 14,922.24 × 7,868.28
  4. Step 4: Simplify right side
    9,957.48x = 117,412,362.55
  5. Step 5: Solve for x
    x = 117,412,362.55/9,957.48
  6. Step 6: Final answer
    x = 11,791.37

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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.