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Finding the Fourth Proportional to 9,128.80, 13,689.20 and 4,196.80

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Solution

The fourth proportional to 9,128.80, 13,689.20 and 4,196.80 is: 6,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.80 : 13,689.20 = 4,196.80 : x
  2. Step 2: Convert to fraction form
    9,128.80/13,689.20 = 4,196.80/x
  3. Step 3: Cross multiply
    9,128.80x = 13,689.20 × 4,196.80
  4. Step 4: Simplify right side
    9,128.80x = 57,450,834.56
  5. Step 5: Solve for x
    x = 57,450,834.56/9,128.80
  6. Step 6: Final answer
    x = 6,293.36

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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.