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Finding the Fourth Proportional to 6,953.68, 9,598.09 and 3,971.14

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Solution

The fourth proportional to 6,953.68, 9,598.09 and 3,971.14 is: 5,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.68 : 9,598.09 = 3,971.14 : x
  2. Step 2: Convert to fraction form
    6,953.68/9,598.09 = 3,971.14/x
  3. Step 3: Cross multiply
    6,953.68x = 9,598.09 × 3,971.14
  4. Step 4: Simplify right side
    6,953.68x = 38,115,359.12
  5. Step 5: Solve for x
    x = 38,115,359.12/6,953.68
  6. Step 6: Final answer
    x = 5,481.32

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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.