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Finding the Fourth Proportional to 9,464.82, 13,063.70 and 5,488.12

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Solution

The fourth proportional to 9,464.82, 13,063.70 and 5,488.12 is: 7,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.82 : 13,063.70 = 5,488.12 : x
  2. Step 2: Convert to fraction form
    9,464.82/13,063.70 = 5,488.12/x
  3. Step 3: Cross multiply
    9,464.82x = 13,063.70 × 5,488.12
  4. Step 4: Simplify right side
    9,464.82x = 71,695,153.24
  5. Step 5: Solve for x
    x = 71,695,153.24/9,464.82
  6. Step 6: Final answer
    x = 7,574.91

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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.