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Finding the Fourth Proportional to 7,116.66, 9,821.14 and 3,972.84

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Solution

The fourth proportional to 7,116.66, 9,821.14 and 3,972.84 is: 5,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.66 : 9,821.14 = 3,972.84 : x
  2. Step 2: Convert to fraction form
    7,116.66/9,821.14 = 3,972.84/x
  3. Step 3: Cross multiply
    7,116.66x = 9,821.14 × 3,972.84
  4. Step 4: Simplify right side
    7,116.66x = 39,017,844.73
  5. Step 5: Solve for x
    x = 39,017,844.73/7,116.66
  6. Step 6: Final answer
    x = 5,482.61

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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.