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Finding the Fourth Proportional to 6,575.95, 9,855.12 and 3,239.11

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Solution

The fourth proportional to 6,575.95, 9,855.12 and 3,239.11 is: 4,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.95 : 9,855.12 = 3,239.11 : x
  2. Step 2: Convert to fraction form
    6,575.95/9,855.12 = 3,239.11/x
  3. Step 3: Cross multiply
    6,575.95x = 9,855.12 × 3,239.11
  4. Step 4: Simplify right side
    6,575.95x = 31,921,817.74
  5. Step 5: Solve for x
    x = 31,921,817.74/6,575.95
  6. Step 6: Final answer
    x = 4,854.33

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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.