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Finding the Fourth Proportional to 6,873.70, 9,482.58 and 4,220.14

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Solution

The fourth proportional to 6,873.70, 9,482.58 and 4,220.14 is: 5,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.70 : 9,482.58 = 4,220.14 : x
  2. Step 2: Convert to fraction form
    6,873.70/9,482.58 = 4,220.14/x
  3. Step 3: Cross multiply
    6,873.70x = 9,482.58 × 4,220.14
  4. Step 4: Simplify right side
    6,873.70x = 40,017,815.16
  5. Step 5: Solve for x
    x = 40,017,815.16/6,873.70
  6. Step 6: Final answer
    x = 5,821.87

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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.