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Finding the Fourth Proportional to 6,141.42, 9,212.19 and 4,916.61

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Solution

The fourth proportional to 6,141.42, 9,212.19 and 4,916.61 is: 7,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.42 : 9,212.19 = 4,916.61 : x
  2. Step 2: Convert to fraction form
    6,141.42/9,212.19 = 4,916.61/x
  3. Step 3: Cross multiply
    6,141.42x = 9,212.19 × 4,916.61
  4. Step 4: Simplify right side
    6,141.42x = 45,292,745.48
  5. Step 5: Solve for x
    x = 45,292,745.48/6,141.42
  6. Step 6: Final answer
    x = 7,374.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.