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Finding the Fourth Proportional to 6,473.32, 9,708.30 and 1,855.24

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Solution

The fourth proportional to 6,473.32, 9,708.30 and 1,855.24 is: 2,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.32 : 9,708.30 = 1,855.24 : x
  2. Step 2: Convert to fraction form
    6,473.32/9,708.30 = 1,855.24/x
  3. Step 3: Cross multiply
    6,473.32x = 9,708.30 × 1,855.24
  4. Step 4: Simplify right side
    6,473.32x = 18,011,226.49
  5. Step 5: Solve for x
    x = 18,011,226.49/6,473.32
  6. Step 6: Final answer
    x = 2,782.38

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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.