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Finding the Fourth Proportional to 6,996.24, 9,653.12 and 3,970.68

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Solution

The fourth proportional to 6,996.24, 9,653.12 and 3,970.68 is: 5,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.24 : 9,653.12 = 3,970.68 : x
  2. Step 2: Convert to fraction form
    6,996.24/9,653.12 = 3,970.68/x
  3. Step 3: Cross multiply
    6,996.24x = 9,653.12 × 3,970.68
  4. Step 4: Simplify right side
    6,996.24x = 38,329,469.02
  5. Step 5: Solve for x
    x = 38,329,469.02/6,996.24
  6. Step 6: Final answer
    x = 5,478.58

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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.