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Finding the Fourth Proportional to 6,153.61, 9,232.58 and 3,842.41

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Solution

The fourth proportional to 6,153.61, 9,232.58 and 3,842.41 is: 5,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.61 : 9,232.58 = 3,842.41 : x
  2. Step 2: Convert to fraction form
    6,153.61/9,232.58 = 3,842.41/x
  3. Step 3: Cross multiply
    6,153.61x = 9,232.58 × 3,842.41
  4. Step 4: Simplify right side
    6,153.61x = 35,475,357.72
  5. Step 5: Solve for x
    x = 35,475,357.72/6,153.61
  6. Step 6: Final answer
    x = 5,764.97

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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.