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Finding the Fourth Proportional to 9,758.96, 13,467.33 and 5,282.70

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Solution

The fourth proportional to 9,758.96, 13,467.33 and 5,282.70 is: 7,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.96 : 13,467.33 = 5,282.70 : x
  2. Step 2: Convert to fraction form
    9,758.96/13,467.33 = 5,282.70/x
  3. Step 3: Cross multiply
    9,758.96x = 13,467.33 × 5,282.70
  4. Step 4: Simplify right side
    9,758.96x = 71,143,864.19
  5. Step 5: Solve for x
    x = 71,143,864.19/9,758.96
  6. Step 6: Final answer
    x = 7,290.11

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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.