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Finding the Fourth Proportional to 6,152.34, 9,228.39 and 3,687.84

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Solution

The fourth proportional to 6,152.34, 9,228.39 and 3,687.84 is: 5,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.34 : 9,228.39 = 3,687.84 : x
  2. Step 2: Convert to fraction form
    6,152.34/9,228.39 = 3,687.84/x
  3. Step 3: Cross multiply
    6,152.34x = 9,228.39 × 3,687.84
  4. Step 4: Simplify right side
    6,152.34x = 34,032,825.78
  5. Step 5: Solve for x
    x = 34,032,825.78/6,152.34
  6. Step 6: Final answer
    x = 5,531.69

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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.