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Finding the Fourth Proportional to 6,956.58, 9,598.17 and 3,971.34

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Solution

The fourth proportional to 6,956.58, 9,598.17 and 3,971.34 is: 5,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.58 : 9,598.17 = 3,971.34 : x
  2. Step 2: Convert to fraction form
    6,956.58/9,598.17 = 3,971.34/x
  3. Step 3: Cross multiply
    6,956.58x = 9,598.17 × 3,971.34
  4. Step 4: Simplify right side
    6,956.58x = 38,117,596.45
  5. Step 5: Solve for x
    x = 38,117,596.45/6,956.58
  6. Step 6: Final answer
    x = 5,479.36

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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.