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Finding the Fourth Proportional to 7,114.26, 9,817.20 and 4,129.92

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Solution

The fourth proportional to 7,114.26, 9,817.20 and 4,129.92 is: 5,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.26 : 9,817.20 = 4,129.92 : x
  2. Step 2: Convert to fraction form
    7,114.26/9,817.20 = 4,129.92/x
  3. Step 3: Cross multiply
    7,114.26x = 9,817.20 × 4,129.92
  4. Step 4: Simplify right side
    7,114.26x = 40,544,250.62
  5. Step 5: Solve for x
    x = 40,544,250.62/7,114.26
  6. Step 6: Final answer
    x = 5,699.01

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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.