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Finding the Fourth Proportional to 9,374.67, 12,933.95 and 6,189.55

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Solution

The fourth proportional to 9,374.67, 12,933.95 and 6,189.55 is: 8,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.67 : 12,933.95 = 6,189.55 : x
  2. Step 2: Convert to fraction form
    9,374.67/12,933.95 = 6,189.55/x
  3. Step 3: Cross multiply
    9,374.67x = 12,933.95 × 6,189.55
  4. Step 4: Simplify right side
    9,374.67x = 80,055,266.94
  5. Step 5: Solve for x
    x = 80,055,266.94/9,374.67
  6. Step 6: Final answer
    x = 8,539.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.