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Finding the Fourth Proportional to 7,102.41, 9,801.37 and 3,915.82

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Solution

The fourth proportional to 7,102.41, 9,801.37 and 3,915.82 is: 5,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.41 : 9,801.37 = 3,915.82 : x
  2. Step 2: Convert to fraction form
    7,102.41/9,801.37 = 3,915.82/x
  3. Step 3: Cross multiply
    7,102.41x = 9,801.37 × 3,915.82
  4. Step 4: Simplify right side
    7,102.41x = 38,380,417.82
  5. Step 5: Solve for x
    x = 38,380,417.82/7,102.41
  6. Step 6: Final answer
    x = 5,403.86

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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.