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Finding the Fourth Proportional to 7,235.20, 9,986.40 and 4,092.40

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Solution

The fourth proportional to 7,235.20, 9,986.40 and 4,092.40 is: 5,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.20 : 9,986.40 = 4,092.40 : x
  2. Step 2: Convert to fraction form
    7,235.20/9,986.40 = 4,092.40/x
  3. Step 3: Cross multiply
    7,235.20x = 9,986.40 × 4,092.40
  4. Step 4: Simplify right side
    7,235.20x = 40,868,343.36
  5. Step 5: Solve for x
    x = 40,868,343.36/7,235.20
  6. Step 6: Final answer
    x = 5,648.54

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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.