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Finding the Fourth Proportional to 7,026, 9,695.84 and 3,839.26

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Solution

The fourth proportional to 7,026, 9,695.84 and 3,839.26 is: 5,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026 : 9,695.84 = 3,839.26 : x
  2. Step 2: Convert to fraction form
    7,026/9,695.84 = 3,839.26/x
  3. Step 3: Cross multiply
    7,026x = 9,695.84 × 3,839.26
  4. Step 4: Simplify right side
    7,026x = 37,224,850.68
  5. Step 5: Solve for x
    x = 37,224,850.68/7,026
  6. Step 6: Final answer
    x = 5,298.16

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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.