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Finding the Fourth Proportional to 9,763.91, 13,474.25 and 5,287.74

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Solution

The fourth proportional to 9,763.91, 13,474.25 and 5,287.74 is: 7,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.91 : 13,474.25 = 5,287.74 : x
  2. Step 2: Convert to fraction form
    9,763.91/13,474.25 = 5,287.74/x
  3. Step 3: Cross multiply
    9,763.91x = 13,474.25 × 5,287.74
  4. Step 4: Simplify right side
    9,763.91x = 71,248,304.26
  5. Step 5: Solve for x
    x = 71,248,304.26/9,763.91
  6. Step 6: Final answer
    x = 7,297.11

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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.