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Finding the Fourth Proportional to 9,156.68, 12,628.26 and 5,968.74

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Solution

The fourth proportional to 9,156.68, 12,628.26 and 5,968.74 is: 8,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.68 : 12,628.26 = 5,968.74 : x
  2. Step 2: Convert to fraction form
    9,156.68/12,628.26 = 5,968.74/x
  3. Step 3: Cross multiply
    9,156.68x = 12,628.26 × 5,968.74
  4. Step 4: Simplify right side
    9,156.68x = 75,374,800.59
  5. Step 5: Solve for x
    x = 75,374,800.59/9,156.68
  6. Step 6: Final answer
    x = 8,231.68

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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.