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Finding the Fourth Proportional to 6,996.14, 9,652.49 and 3,970.76

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Solution

The fourth proportional to 6,996.14, 9,652.49 and 3,970.76 is: 5,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.14 : 9,652.49 = 3,970.76 : x
  2. Step 2: Convert to fraction form
    6,996.14/9,652.49 = 3,970.76/x
  3. Step 3: Cross multiply
    6,996.14x = 9,652.49 × 3,970.76
  4. Step 4: Simplify right side
    6,996.14x = 38,327,682.86
  5. Step 5: Solve for x
    x = 38,327,682.86/6,996.14
  6. Step 6: Final answer
    x = 5,478.41

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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.