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Finding the Fourth Proportional to 9,102.90, 13,645.82 and 4,936.80

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Solution

The fourth proportional to 9,102.90, 13,645.82 and 4,936.80 is: 7,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.90 : 13,645.82 = 4,936.80 : x
  2. Step 2: Convert to fraction form
    9,102.90/13,645.82 = 4,936.80/x
  3. Step 3: Cross multiply
    9,102.90x = 13,645.82 × 4,936.80
  4. Step 4: Simplify right side
    9,102.90x = 67,366,684.18
  5. Step 5: Solve for x
    x = 67,366,684.18/9,102.90
  6. Step 6: Final answer
    x = 7,400.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.