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Finding the Fourth Proportional to 9,630.65, 13,290.13 and 5,381.44

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Solution

The fourth proportional to 9,630.65, 13,290.13 and 5,381.44 is: 7,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.65 : 13,290.13 = 5,381.44 : x
  2. Step 2: Convert to fraction form
    9,630.65/13,290.13 = 5,381.44/x
  3. Step 3: Cross multiply
    9,630.65x = 13,290.13 × 5,381.44
  4. Step 4: Simplify right side
    9,630.65x = 71,519,980.42
  5. Step 5: Solve for x
    x = 71,519,980.42/9,630.65
  6. Step 6: Final answer
    x = 7,426.29

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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.