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Finding the Fourth Proportional to 6,970.74, 9,619.98 and 3,986.70

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Solution

The fourth proportional to 6,970.74, 9,619.98 and 3,986.70 is: 5,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.74 : 9,619.98 = 3,986.70 : x
  2. Step 2: Convert to fraction form
    6,970.74/9,619.98 = 3,986.70/x
  3. Step 3: Cross multiply
    6,970.74x = 9,619.98 × 3,986.70
  4. Step 4: Simplify right side
    6,970.74x = 38,351,974.27
  5. Step 5: Solve for x
    x = 38,351,974.27/6,970.74
  6. Step 6: Final answer
    x = 5,501.85

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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.