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Finding the Fourth Proportional to 7,102.25, 9,801.33 and 3,915.68

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Solution

The fourth proportional to 7,102.25, 9,801.33 and 3,915.68 is: 5,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.25 : 9,801.33 = 3,915.68 : x
  2. Step 2: Convert to fraction form
    7,102.25/9,801.33 = 3,915.68/x
  3. Step 3: Cross multiply
    7,102.25x = 9,801.33 × 3,915.68
  4. Step 4: Simplify right side
    7,102.25x = 38,378,822.85
  5. Step 5: Solve for x
    x = 38,378,822.85/7,102.25
  6. Step 6: Final answer
    x = 5,403.76

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