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Finding the Fourth Proportional to 6,380.93, 9,574.64 and 2,870.24

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Solution

The fourth proportional to 6,380.93, 9,574.64 and 2,870.24 is: 4,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.93 : 9,574.64 = 2,870.24 : x
  2. Step 2: Convert to fraction form
    6,380.93/9,574.64 = 2,870.24/x
  3. Step 3: Cross multiply
    6,380.93x = 9,574.64 × 2,870.24
  4. Step 4: Simplify right side
    6,380.93x = 27,481,463.25
  5. Step 5: Solve for x
    x = 27,481,463.25/6,380.93
  6. Step 6: Final answer
    x = 4,306.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.