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Finding the Fourth Proportional to 8,941.38, 12,339 and 4,962.42

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Solution

The fourth proportional to 8,941.38, 12,339 and 4,962.42 is: 6,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,941.38 : 12,339 = 4,962.42 : x
  2. Step 2: Convert to fraction form
    8,941.38/12,339 = 4,962.42/x
  3. Step 3: Cross multiply
    8,941.38x = 12,339 × 4,962.42
  4. Step 4: Simplify right side
    8,941.38x = 61,231,300.38
  5. Step 5: Solve for x
    x = 61,231,300.38/8,941.38
  6. Step 6: Final answer
    x = 6,848.08

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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.