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Finding the Fourth Proportional to 6,225.42, 9,323.55 and 3,447.66

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Solution

The fourth proportional to 6,225.42, 9,323.55 and 3,447.66 is: 5,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.42 : 9,323.55 = 3,447.66 : x
  2. Step 2: Convert to fraction form
    6,225.42/9,323.55 = 3,447.66/x
  3. Step 3: Cross multiply
    6,225.42x = 9,323.55 × 3,447.66
  4. Step 4: Simplify right side
    6,225.42x = 32,144,430.39
  5. Step 5: Solve for x
    x = 32,144,430.39/6,225.42
  6. Step 6: Final answer
    x = 5,163.42

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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.