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Finding the Fourth Proportional to 9,464.72, 13,061.31 and 5,488.14

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Solution

The fourth proportional to 9,464.72, 13,061.31 and 5,488.14 is: 7,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.72 : 13,061.31 = 5,488.14 : x
  2. Step 2: Convert to fraction form
    9,464.72/13,061.31 = 5,488.14/x
  3. Step 3: Cross multiply
    9,464.72x = 13,061.31 × 5,488.14
  4. Step 4: Simplify right side
    9,464.72x = 71,682,297.86
  5. Step 5: Solve for x
    x = 71,682,297.86/9,464.72
  6. Step 6: Final answer
    x = 7,573.64

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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.