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Finding the Fourth Proportional to 9,782.20, 14,647.38 and 5,881.24

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Solution

The fourth proportional to 9,782.20, 14,647.38 and 5,881.24 is: 8,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.20 : 14,647.38 = 5,881.24 : x
  2. Step 2: Convert to fraction form
    9,782.20/14,647.38 = 5,881.24/x
  3. Step 3: Cross multiply
    9,782.20x = 14,647.38 × 5,881.24
  4. Step 4: Simplify right side
    9,782.20x = 86,144,757.15
  5. Step 5: Solve for x
    x = 86,144,757.15/9,782.20
  6. Step 6: Final answer
    x = 8,806.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.