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Finding the Fourth Proportional to 9,216.70, 13,827.82 and 4,289.26

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Solution

The fourth proportional to 9,216.70, 13,827.82 and 4,289.26 is: 6,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.70 : 13,827.82 = 4,289.26 : x
  2. Step 2: Convert to fraction form
    9,216.70/13,827.82 = 4,289.26/x
  3. Step 3: Cross multiply
    9,216.70x = 13,827.82 × 4,289.26
  4. Step 4: Simplify right side
    9,216.70x = 59,311,115.21
  5. Step 5: Solve for x
    x = 59,311,115.21/9,216.70
  6. Step 6: Final answer
    x = 6,435.18

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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.