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Finding the Fourth Proportional to 6,966.84, 9,613.74 and 3,982.80

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Solution

The fourth proportional to 6,966.84, 9,613.74 and 3,982.80 is: 5,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.84 : 9,613.74 = 3,982.80 : x
  2. Step 2: Convert to fraction form
    6,966.84/9,613.74 = 3,982.80/x
  3. Step 3: Cross multiply
    6,966.84x = 9,613.74 × 3,982.80
  4. Step 4: Simplify right side
    6,966.84x = 38,289,603.67
  5. Step 5: Solve for x
    x = 38,289,603.67/6,966.84
  6. Step 6: Final answer
    x = 5,495.98

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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.