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Finding the Fourth Proportional to 7,197.23, 9,932.34 and 4,010.74

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Solution

The fourth proportional to 7,197.23, 9,932.34 and 4,010.74 is: 5,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.23 : 9,932.34 = 4,010.74 : x
  2. Step 2: Convert to fraction form
    7,197.23/9,932.34 = 4,010.74/x
  3. Step 3: Cross multiply
    7,197.23x = 9,932.34 × 4,010.74
  4. Step 4: Simplify right side
    7,197.23x = 39,836,033.33
  5. Step 5: Solve for x
    x = 39,836,033.33/7,197.23
  6. Step 6: Final answer
    x = 5,534.91

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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.