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Finding the Fourth Proportional to 9,767.62, 13,476 and 5,518.06

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Solution

The fourth proportional to 9,767.62, 13,476 and 5,518.06 is: 7,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.62 : 13,476 = 5,518.06 : x
  2. Step 2: Convert to fraction form
    9,767.62/13,476 = 5,518.06/x
  3. Step 3: Cross multiply
    9,767.62x = 13,476 × 5,518.06
  4. Step 4: Simplify right side
    9,767.62x = 74,361,376.56
  5. Step 5: Solve for x
    x = 74,361,376.56/9,767.62
  6. Step 6: Final answer
    x = 7,613.05

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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.