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Finding the Fourth Proportional to 9,177.42, 12,664.89 and 5,642.94

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Solution

The fourth proportional to 9,177.42, 12,664.89 and 5,642.94 is: 7,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.42 : 12,664.89 = 5,642.94 : x
  2. Step 2: Convert to fraction form
    9,177.42/12,664.89 = 5,642.94/x
  3. Step 3: Cross multiply
    9,177.42x = 12,664.89 × 5,642.94
  4. Step 4: Simplify right side
    9,177.42x = 71,467,214.38
  5. Step 5: Solve for x
    x = 71,467,214.38/9,177.42
  6. Step 6: Final answer
    x = 7,787.29

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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.