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Finding the Fourth Proportional to 6,351.06, 9,526.59 and 3,442.35

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Solution

The fourth proportional to 6,351.06, 9,526.59 and 3,442.35 is: 5,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.06 : 9,526.59 = 3,442.35 : x
  2. Step 2: Convert to fraction form
    6,351.06/9,526.59 = 3,442.35/x
  3. Step 3: Cross multiply
    6,351.06x = 9,526.59 × 3,442.35
  4. Step 4: Simplify right side
    6,351.06x = 32,793,857.09
  5. Step 5: Solve for x
    x = 32,793,857.09/6,351.06
  6. Step 6: Final answer
    x = 5,163.53

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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.