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Finding the Fourth Proportional to 7,126.44, 9,834.59 and 4,296.77

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Solution

The fourth proportional to 7,126.44, 9,834.59 and 4,296.77 is: 5,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.44 : 9,834.59 = 4,296.77 : x
  2. Step 2: Convert to fraction form
    7,126.44/9,834.59 = 4,296.77/x
  3. Step 3: Cross multiply
    7,126.44x = 9,834.59 × 4,296.77
  4. Step 4: Simplify right side
    7,126.44x = 42,256,900.62
  5. Step 5: Solve for x
    x = 42,256,900.62/7,126.44
  6. Step 6: Final answer
    x = 5,929.59

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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.