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Finding the Fourth Proportional to 9,763.50, 13,473.62 and 5,287.26

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Solution

The fourth proportional to 9,763.50, 13,473.62 and 5,287.26 is: 7,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.50 : 13,473.62 = 5,287.26 : x
  2. Step 2: Convert to fraction form
    9,763.50/13,473.62 = 5,287.26/x
  3. Step 3: Cross multiply
    9,763.50x = 13,473.62 × 5,287.26
  4. Step 4: Simplify right side
    9,763.50x = 71,238,529.95
  5. Step 5: Solve for x
    x = 71,238,529.95/9,763.50
  6. Step 6: Final answer
    x = 7,296.42

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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.