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Finding the Fourth Proportional to 9,464.56, 13,061.35 and 5,216.09

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Solution

The fourth proportional to 9,464.56, 13,061.35 and 5,216.09 is: 7,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.56 : 13,061.35 = 5,216.09 : x
  2. Step 2: Convert to fraction form
    9,464.56/13,061.35 = 5,216.09/x
  3. Step 3: Cross multiply
    9,464.56x = 13,061.35 × 5,216.09
  4. Step 4: Simplify right side
    9,464.56x = 68,129,098.77
  5. Step 5: Solve for x
    x = 68,129,098.77/9,464.56
  6. Step 6: Final answer
    x = 7,198.34

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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.