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Finding the Fourth Proportional to 6,359.84, 9,539.84 and 1,977.20

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Solution

The fourth proportional to 6,359.84, 9,539.84 and 1,977.20 is: 2,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.84 : 9,539.84 = 1,977.20 : x
  2. Step 2: Convert to fraction form
    6,359.84/9,539.84 = 1,977.20/x
  3. Step 3: Cross multiply
    6,359.84x = 9,539.84 × 1,977.20
  4. Step 4: Simplify right side
    6,359.84x = 18,862,171.65
  5. Step 5: Solve for x
    x = 18,862,171.65/6,359.84
  6. Step 6: Final answer
    x = 2,965.82

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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.