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Finding the Fourth Proportional to 9,216.74, 13,827.07 and 2,977.11

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Solution

The fourth proportional to 9,216.74, 13,827.07 and 2,977.11 is: 4,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.74 : 13,827.07 = 2,977.11 : x
  2. Step 2: Convert to fraction form
    9,216.74/13,827.07 = 2,977.11/x
  3. Step 3: Cross multiply
    9,216.74x = 13,827.07 × 2,977.11
  4. Step 4: Simplify right side
    9,216.74x = 41,164,708.37
  5. Step 5: Solve for x
    x = 41,164,708.37/9,216.74
  6. Step 6: Final answer
    x = 4,466.30

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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.