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Finding the Fourth Proportional to 6,473.58, 9,711.24 and 2,089.98

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Solution

The fourth proportional to 6,473.58, 9,711.24 and 2,089.98 is: 3,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.58 : 9,711.24 = 2,089.98 : x
  2. Step 2: Convert to fraction form
    6,473.58/9,711.24 = 2,089.98/x
  3. Step 3: Cross multiply
    6,473.58x = 9,711.24 × 2,089.98
  4. Step 4: Simplify right side
    6,473.58x = 20,296,297.38
  5. Step 5: Solve for x
    x = 20,296,297.38/6,473.58
  6. Step 6: Final answer
    x = 3,135.25

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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.