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Finding the Fourth Proportional to 6,575.05, 9,853.93 and 3,113.29

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Solution

The fourth proportional to 6,575.05, 9,853.93 and 3,113.29 is: 4,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.05 : 9,853.93 = 3,113.29 : x
  2. Step 2: Convert to fraction form
    6,575.05/9,853.93 = 3,113.29/x
  3. Step 3: Cross multiply
    6,575.05x = 9,853.93 × 3,113.29
  4. Step 4: Simplify right side
    6,575.05x = 30,678,141.73
  5. Step 5: Solve for x
    x = 30,678,141.73/6,575.05
  6. Step 6: Final answer
    x = 4,665.84

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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.