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Finding the Fourth Proportional to 8,938.61, 12,336.75 and 4,961

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Solution

The fourth proportional to 8,938.61, 12,336.75 and 4,961 is: 6,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.61 : 12,336.75 = 4,961 : x
  2. Step 2: Convert to fraction form
    8,938.61/12,336.75 = 4,961/x
  3. Step 3: Cross multiply
    8,938.61x = 12,336.75 × 4,961
  4. Step 4: Simplify right side
    8,938.61x = 61,202,616.75
  5. Step 5: Solve for x
    x = 61,202,616.75/8,938.61
  6. Step 6: Final answer
    x = 6,846.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.