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Finding the Fourth Proportional to 9,216.11, 13,825.78 and 2,977.49

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Solution

The fourth proportional to 9,216.11, 13,825.78 and 2,977.49 is: 4,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.11 : 13,825.78 = 2,977.49 : x
  2. Step 2: Convert to fraction form
    9,216.11/13,825.78 = 2,977.49/x
  3. Step 3: Cross multiply
    9,216.11x = 13,825.78 × 2,977.49
  4. Step 4: Simplify right side
    9,216.11x = 41,166,045.12
  5. Step 5: Solve for x
    x = 41,166,045.12/9,216.11
  6. Step 6: Final answer
    x = 4,466.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.