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Finding the Fourth Proportional to 6,971.14, 9,620.49 and 4,137.88

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Solution

The fourth proportional to 6,971.14, 9,620.49 and 4,137.88 is: 5,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.14 : 9,620.49 = 4,137.88 : x
  2. Step 2: Convert to fraction form
    6,971.14/9,620.49 = 4,137.88/x
  3. Step 3: Cross multiply
    6,971.14x = 9,620.49 × 4,137.88
  4. Step 4: Simplify right side
    6,971.14x = 39,808,433.16
  5. Step 5: Solve for x
    x = 39,808,433.16/6,971.14
  6. Step 6: Final answer
    x = 5,710.46

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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.