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Finding the Fourth Proportional to 9,190.98, 12,683.51 and 5,414.12

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Solution

The fourth proportional to 9,190.98, 12,683.51 and 5,414.12 is: 7,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.98 : 12,683.51 = 5,414.12 : x
  2. Step 2: Convert to fraction form
    9,190.98/12,683.51 = 5,414.12/x
  3. Step 3: Cross multiply
    9,190.98x = 12,683.51 × 5,414.12
  4. Step 4: Simplify right side
    9,190.98x = 68,670,045.16
  5. Step 5: Solve for x
    x = 68,670,045.16/9,190.98
  6. Step 6: Final answer
    x = 7,471.46

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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.