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Finding the Fourth Proportional to 9,146.67, 12,610.94 and 7,466.37

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Solution

The fourth proportional to 9,146.67, 12,610.94 and 7,466.37 is: 10,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.67 : 12,610.94 = 7,466.37 : x
  2. Step 2: Convert to fraction form
    9,146.67/12,610.94 = 7,466.37/x
  3. Step 3: Cross multiply
    9,146.67x = 12,610.94 × 7,466.37
  4. Step 4: Simplify right side
    9,146.67x = 94,157,906.76
  5. Step 5: Solve for x
    x = 94,157,906.76/9,146.67
  6. Step 6: Final answer
    x = 10,294.23

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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.