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Finding the Fourth Proportional to 6,970.98, 9,619.92 and 3,827.14

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Solution

The fourth proportional to 6,970.98, 9,619.92 and 3,827.14 is: 5,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.98 : 9,619.92 = 3,827.14 : x
  2. Step 2: Convert to fraction form
    6,970.98/9,619.92 = 3,827.14/x
  3. Step 3: Cross multiply
    6,970.98x = 9,619.92 × 3,827.14
  4. Step 4: Simplify right side
    6,970.98x = 36,816,780.63
  5. Step 5: Solve for x
    x = 36,816,780.63/6,970.98
  6. Step 6: Final answer
    x = 5,281.44

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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.