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Finding the Fourth Proportional to 9,194.21, 12,683.78 and 5,415.56

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Solution

The fourth proportional to 9,194.21, 12,683.78 and 5,415.56 is: 7,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.21 : 12,683.78 = 5,415.56 : x
  2. Step 2: Convert to fraction form
    9,194.21/12,683.78 = 5,415.56/x
  3. Step 3: Cross multiply
    9,194.21x = 12,683.78 × 5,415.56
  4. Step 4: Simplify right side
    9,194.21x = 68,689,681.12
  5. Step 5: Solve for x
    x = 68,689,681.12/9,194.21
  6. Step 6: Final answer
    x = 7,470.98

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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.