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Finding the Fourth Proportional to 7,129.26, 9,814.20 and 6,128.70

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Solution

The fourth proportional to 7,129.26, 9,814.20 and 6,128.70 is: 8,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.26 : 9,814.20 = 6,128.70 : x
  2. Step 2: Convert to fraction form
    7,129.26/9,814.20 = 6,128.70/x
  3. Step 3: Cross multiply
    7,129.26x = 9,814.20 × 6,128.70
  4. Step 4: Simplify right side
    7,129.26x = 60,148,287.54
  5. Step 5: Solve for x
    x = 60,148,287.54/7,129.26
  6. Step 6: Final answer
    x = 8,436.82

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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.