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Finding the Fourth Proportional to 9,466.32, 14,191.32 and 3,627

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Solution

The fourth proportional to 9,466.32, 14,191.32 and 3,627 is: 5,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.32 : 14,191.32 = 3,627 : x
  2. Step 2: Convert to fraction form
    9,466.32/14,191.32 = 3,627/x
  3. Step 3: Cross multiply
    9,466.32x = 14,191.32 × 3,627
  4. Step 4: Simplify right side
    9,466.32x = 51,471,917.64
  5. Step 5: Solve for x
    x = 51,471,917.64/9,466.32
  6. Step 6: Final answer
    x = 5,437.37

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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.