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Finding the Fourth Proportional to 6,971.34, 9,620.36 and 3,827.46

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Solution

The fourth proportional to 6,971.34, 9,620.36 and 3,827.46 is: 5,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.34 : 9,620.36 = 3,827.46 : x
  2. Step 2: Convert to fraction form
    6,971.34/9,620.36 = 3,827.46/x
  3. Step 3: Cross multiply
    6,971.34x = 9,620.36 × 3,827.46
  4. Step 4: Simplify right side
    6,971.34x = 36,821,543.09
  5. Step 5: Solve for x
    x = 36,821,543.09/6,971.34
  6. Step 6: Final answer
    x = 5,281.85

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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.