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Finding the Fourth Proportional to 9,763.42, 13,473.50 and 5,287.20

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Solution

The fourth proportional to 9,763.42, 13,473.50 and 5,287.20 is: 7,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.42 : 13,473.50 = 5,287.20 : x
  2. Step 2: Convert to fraction form
    9,763.42/13,473.50 = 5,287.20/x
  3. Step 3: Cross multiply
    9,763.42x = 13,473.50 × 5,287.20
  4. Step 4: Simplify right side
    9,763.42x = 71,237,089.20
  5. Step 5: Solve for x
    x = 71,237,089.20/9,763.42
  6. Step 6: Final answer
    x = 7,296.33

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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.